156,375

3² × 5³ × 139

156,375 factors as 3^2 × 5^3 × 139. Its 24 positive divisors give a proper-divisor sum of 127,545, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 283,920

Proper Divisor Sum 127,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #156371 ← → #156419

Radix Representation

Decimal	156375
Binary	100110001011010111 (18 bits)
Octal	0o461327
Hexadecimal	0x262D7

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 139 225 375 417 695 1,125 1,251 2,085 3,475 6,255 10,425 17,375 31,275 52,125 156,375

Collatz Trajectory (77 steps to reach 1)

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

156,375 469,126 234,563 703,690 351,845 1,055,536 527,768 263,884 131,942 65,971 197,914 98,957 296,872 148,436 74,218 37,109 111,328 55,664 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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