357,535

5 × 23 × 3109

357,535 factors as 5 × 23 × 3109. Its 8 positive divisors give a proper-divisor sum of 90,305, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 5 × 23 × 3109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 447,840

Proper Divisor Sum 90,305

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #357517 ← → #357551

Radix Representation

Decimal	357535
Binary	1010111010010011111 (19 bits)
Octal	0o1272237
Hexadecimal	0x5749F

Divisor Catalog (8)

1 5 23 115 3,109 15,545 71,507 357,535

Collatz Trajectory (241 steps to reach 1)

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

357,535 1,072,606 536,303 1,608,910 804,455 2,413,366 1,206,683 3,620,050 1,810,025 5,430,076 2,715,038 1,357,519 4,072,558 2,036,279 6,108,838 3,054,419 9,163,258 4,581,629 13,744,888 6,872,444 3,436,222 1,718,111 5,154,334 2,577,167 7,731,502 3,865,751 11,597,254 5,798,627 17,395,882 8,697,941 26,093,824 13,046,912 6,523,456 3,261,728 1,630,864 815,432 407,716 203,858 101,929 305,788 152,894 76,447 229,342 114,671 344,014 172,007 516,022 258,011 774,034 387,017 1,161,052 580,526 290,263 870,790 435,395 1,306,186 653,093 1,959,280 979,640 489,820

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