λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,225
37,101,225
3 × 52 × 7 × 17 × 4157
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 17 × 4157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,245,248
Proper Divisor Sum 37,144,023
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #37101223 ← → #37101241

Radix Representation

Decimal 37101225
Binary 10001101100001111010101001 (26 bits)
Octal 0o215417251
Hexadecimal 0x2361EA9

Divisor Catalog (48)

1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1,275 1,785 2,975 4,157 8,925 12,471 20,785 29,099 62,355 70,669 87,297 103,925 145,495 212,007 311,775 353,345 436,485 494,683 727,475 1,060,035 1,484,049 1,766,725 2,182,425 2,473,415 5,300,175 7,420,245 12,367,075 37,101,225

Collatz Trajectory (165 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

37,101,225 111,303,676 55,651,838 27,825,919 83,477,758 41,738,879 125,216,638 62,608,319 187,824,958 93,912,479 281,737,438 140,868,719 422,606,158 211,303,079 633,909,238 316,954,619 950,863,858 475,431,929 1,426,295,788 713,147,894 356,573,947 1,069,721,842 534,860,921 1,604,582,764 802,291,382 401,145,691 1,203,437,074 601,718,537 1,805,155,612 902,577,806 451,288,903 1,353,866,710 676,933,355 2,030,800,066 1,015,400,033 3,046,200,100 1,523,100,050 761,550,025 2,284,650,076 1,142,325,038 571,162,519 1,713,487,558 856,743,779 2,570,231,338 1,285,115,669 3,855,347,008 1,927,673,504 963,836,752 481,918,376 240,959,188 120,479,594 60,239,797 180,719,392 90,359,696 45,179,848 22,589,924 11,294,962 5,647,481 16,942,444 8,471,222

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #37,101,224 Browse Full Index Next Integer #37,101,226 →