177,489

3² × 13 × 37 × 41

177,489 factors as 3^2 × 13 × 37 × 41. Its 24 positive divisors give a proper-divisor sum of 112,983, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 37 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 290,472

Proper Divisor Sum 112,983

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #177487 ← → #177493

Radix Representation

Decimal	177489
Binary	101011010101010001 (18 bits)
Octal	0o532521
Hexadecimal	0x2B551

Divisor Catalog (24)

1 3 9 13 37 39 41 111 117 123 333 369 481 533 1,443 1,517 1,599 4,329 4,551 4,797 13,653 19,721 59,163 177,489

Collatz Trajectory (95 steps to reach 1)

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

177,489 532,468 266,234 133,117 399,352 199,676 99,838 49,919 149,758 74,879 224,638 112,319 336,958 168,479 505,438 252,719 758,158 379,079 1,137,238 568,619 1,705,858 852,929 2,558,788 1,279,394 639,697 1,919,092 959,546 479,773 1,439,320 719,660 359,830 179,915 539,746 269,873 809,620 404,810 202,405 607,216 303,608 151,804 75,902 37,951 113,854 56,927 170,782 85,391 256,174 128,087 384,262 192,131 576,394 288,197 864,592 432,296 216,148 108,074 54,037 162,112 81,056 40,528

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