37,572,045

3 × 5 × 7 × 357829

37,572,045 factors as 3 × 5 × 7 × 357829. Its 16 positive divisors give a proper-divisor sum of 31,131,315, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 357829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 68,703,360

Proper Divisor Sum 31,131,315

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #37572043 ← → #37572047

Radix Representation

Decimal	37572045
Binary	10001111010100110111001101 (26 bits)
Octal	0o217246715
Hexadecimal	0x23D4DCD

Divisor Catalog (16)

1 3 5 7 15 21 35 105 357,829 1,073,487 1,789,145 2,504,803 5,367,435 7,514,409 12,524,015 37,572,045

Collatz Trajectory (178 steps to reach 1)

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

37,572,045 112,716,136 56,358,068 28,179,034 14,089,517 42,268,552 21,134,276 10,567,138 5,283,569 15,850,708 7,925,354 3,962,677 11,888,032 5,944,016 2,972,008 1,486,004 743,002 371,501 1,114,504 557,252 278,626 139,313 417,940 208,970 104,485 313,456 156,728 78,364 39,182 19,591 58,774 29,387 88,162 44,081 132,244 66,122 33,061 99,184 49,592 24,796 12,398 6,199 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730

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