λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,430,050

37,430,050

2 × 52 × 7 × 229 × 467
Abundant Even Composite

37,430,050 factors as 2 × 5^2 × 7 × 229 × 467. Its 48 positive divisors give a proper-divisor sum of 42,654,110, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 229 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 80,084,160
Proper Divisor Sum 42,654,110
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #37430047 ← → #37430077

Radix Representation

Decimal 37430050
Binary 10001110110010001100100010 (26 bits)
Octal 0o216621442
Hexadecimal 0x23B2322

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 175 229 350 458 467 934 1,145 1,603 2,290 2,335 3,206 3,269 4,670 5,725 6,538 8,015 11,450 11,675 16,030 16,345 23,350 32,690 40,075 80,150 81,725 106,943 163,450 213,886 534,715 748,601 1,069,430 1,497,202 2,673,575 3,743,005 5,347,150 7,486,010 18,715,025 37,430,050

Collatz Trajectory (165 steps to reach 1)

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

37,430,050 18,715,025 56,145,076 28,072,538 14,036,269 42,108,808 21,054,404 10,527,202 5,263,601 15,790,804 7,895,402 3,947,701 11,843,104 5,921,552 2,960,776 1,480,388 740,194 370,097 1,110,292 555,146 277,573 832,720 416,360 208,180 104,090 52,045 156,136 78,068 39,034 19,517 58,552 29,276 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #37,430,049 Browse Full Index Next Integer #37,430,051 →