357,435

3² × 5 × 13² × 47

357,435 factors as 3^2 × 5 × 13^2 × 47. Its 36 positive divisors give a proper-divisor sum of 327,717, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 685,152

Proper Divisor Sum 327,717

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #357431 ← → #357437

Radix Representation

Decimal	357435
Binary	1010111010000111011 (19 bits)
Octal	0o1272073
Hexadecimal	0x5743B

Divisor Catalog (36)

1 3 5 9 13 15 39 45 47 65 117 141 169 195 235 423 507 585 611 705 845 1,521 1,833 2,115 2,535 3,055 5,499 7,605 7,943 9,165 23,829 27,495 39,715 71,487 119,145 357,435

Collatz Trajectory (73 steps to reach 1)

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

357,435 1,072,306 536,153 1,608,460 804,230 402,115 1,206,346 603,173 1,809,520 904,760 452,380 226,190 113,095 339,286 169,643 508,930 254,465 763,396 381,698 190,849 572,548 286,274 143,137 429,412 214,706 107,353 322,060 161,030 80,515 241,546 120,773 362,320 181,160 90,580 45,290 22,645 67,936 33,968 16,984 8,492 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11

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