λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,392

37,101,392

24 × 23 × 41 × 2459
Abundant Even Composite

37,101,392 factors as 2^4 × 23 × 41 × 2459. Its 40 positive divisors give a proper-divisor sum of 39,768,688, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 41 × 2459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 76,870,080
Proper Divisor Sum 39,768,688
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #37101391 ← → #37101397

Radix Representation

Decimal 37101392
Binary 10001101100001111101010000 (26 bits)
Octal 0o215417520
Hexadecimal 0x2361F50

Divisor Catalog (40)

1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1,886 2,459 3,772 4,918 7,544 9,836 15,088 19,672 39,344 56,557 100,819 113,114 201,638 226,228 403,276 452,456 806,552 904,912 1,613,104 2,318,837 4,637,674 9,275,348 18,550,696 37,101,392

Collatz Trajectory (103 steps to reach 1)

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

37,101,392 18,550,696 9,275,348 4,637,674 2,318,837 6,956,512 3,478,256 1,739,128 869,564 434,782 217,391 652,174 326,087 978,262 489,131 1,467,394 733,697 2,201,092 1,100,546 550,273 1,650,820 825,410 412,705 1,238,116 619,058 309,529 928,588 464,294 232,147 696,442 348,221 1,044,664 522,332 261,166 130,583 391,750 195,875 587,626 293,813 881,440 440,720 220,360 110,180 55,090 27,545 82,636 41,318 20,659 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,101,391 Browse Full Index Next Integer #37,101,393 →