37,042,954

2 × 13 × 31 × 45959

37,042,954 factors as 2 × 13 × 31 × 45959. Its 16 positive divisors give a proper-divisor sum of 24,727,286, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 13 × 31 × 45959

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,770,240

Proper Divisor Sum 24,727,286

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37042939 ← → #37042963

Radix Representation

Decimal	37042954
Binary	10001101010011101100001010 (26 bits)
Octal	0o215235412
Hexadecimal	0x2353B0A

Divisor Catalog (16)

1 2 13 26 31 62 403 806 45,959 91,918 597,467 1,194,934 1,424,729 2,849,458 18,521,477 37,042,954

Collatz Trajectory (90 steps to reach 1)

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

37,042,954 18,521,477 55,564,432 27,782,216 13,891,108 6,945,554 3,472,777 10,418,332 5,209,166 2,604,583 7,813,750 3,906,875 11,720,626 5,860,313 17,580,940 8,790,470 4,395,235 13,185,706 6,592,853 19,778,560 9,889,280 4,944,640 2,472,320 1,236,160 618,080 309,040 154,520 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,042,953 Browse Full Index Next Integer #37,042,955 →