λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,440
36,968,440
23 × 5 × 61 × 109 × 139
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 109 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 85,932,000
Proper Divisor Sum 48,963,560
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36968419 ← → #36968443

Radix Representation

Decimal 36968440
Binary 10001101000001011111111000 (26 bits)
Octal 0o215013770
Hexadecimal 0x23417F8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 40 61 109 122 139 218 244 278 305 436 488 545 556 610 695 872 1,090 1,112 1,220 1,390 2,180 2,440 2,780 4,360 5,560 6,649 8,479 13,298 15,151 16,958 26,596 30,302 33,245 33,916 42,395 53,192 60,604 66,490 67,832 75,755 84,790 121,208 132,980 151,510 169,580 265,960 303,020 339,160 606,040 924,211 1,848,422 3,696,844 4,621,055

Collatz Trajectory (227 steps to reach 1)

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

36,968,440 18,484,220 9,242,110 4,621,055 13,863,166 6,931,583 20,794,750 10,397,375 31,192,126 15,596,063 46,788,190 23,394,095 70,182,286 35,091,143 105,273,430 52,636,715 157,910,146 78,955,073 236,865,220 118,432,610 59,216,305 177,648,916 88,824,458 44,412,229 133,236,688 66,618,344 33,309,172 16,654,586 8,327,293 24,981,880 12,490,940 6,245,470 3,122,735 9,368,206 4,684,103 14,052,310 7,026,155 21,078,466 10,539,233 31,617,700 15,808,850 7,904,425 23,713,276 11,856,638 5,928,319 17,784,958 8,892,479 26,677,438 13,338,719 40,016,158 20,008,079 60,024,238 30,012,119 90,036,358 45,018,179 135,054,538 67,527,269 202,581,808 101,290,904 50,645,452

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #36,968,439 Browse Full Index Next Integer #36,968,441 →