37,431,760

2⁴ × 5 × 467897

37,431,760 factors as 2^4 × 5 × 467897. Its 20 positive divisors give a proper-divisor sum of 49,597,268, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 467897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 87,029,028

Proper Divisor Sum 49,597,268

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37431749 ← → #37431763

Radix Representation

Decimal	37431760
Binary	10001110110010100111010000 (26 bits)
Octal	0o216624720
Hexadecimal	0x23B29D0

Divisor Catalog (20)

Collatz Trajectory (134 steps to reach 1)

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

37,431,760 18,715,880 9,357,940 4,678,970 2,339,485 7,018,456 3,509,228 1,754,614 877,307 2,631,922 1,315,961 3,947,884 1,973,942 986,971 2,960,914 1,480,457 4,441,372 2,220,686 1,110,343 3,331,030 1,665,515 4,996,546 2,498,273 7,494,820 3,747,410 1,873,705 5,621,116 2,810,558 1,405,279 4,215,838 2,107,919 6,323,758 3,161,879 9,485,638 4,742,819 14,228,458 7,114,229 21,342,688 10,671,344 5,335,672 2,667,836 1,333,918 666,959 2,000,878 1,000,439 3,001,318 1,500,659 4,501,978 2,250,989 6,752,968 3,376,484 1,688,242 844,121 2,532,364 1,266,182 633,091 1,899,274 949,637 2,848,912 1,424,456

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