537,355

5 × 7 × 13 × 1181

537,355 factors as 5 × 7 × 13 × 1181. Its 16 positive divisors give a proper-divisor sum of 256,949, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 794,304

Proper Divisor Sum 256,949

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #537347 ← → #537373

Radix Representation

Decimal	537355
Binary	10000011001100001011 (20 bits)
Octal	0o2031413
Hexadecimal	0x8330B

Divisor Catalog (16)

1 5 7 13 35 65 91 455 1,181 5,905 8,267 15,353 41,335 76,765 107,471 537,355

Collatz Trajectory (120 steps to reach 1)

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

537,355 1,612,066 806,033 2,418,100 1,209,050 604,525 1,813,576 906,788 453,394 226,697 680,092 340,046 170,023 510,070 255,035 765,106 382,553 1,147,660 573,830 286,915 860,746 430,373 1,291,120 645,560 322,780 161,390 80,695 242,086 121,043 363,130 181,565 544,696 272,348 136,174 68,087 204,262 102,131 306,394 153,197 459,592 229,796 114,898 57,449 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132 109,066 54,533 163,600 81,800 40,900 20,450

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