358,295

5 × 7 × 29 × 353

358,295 factors as 5 × 7 × 29 × 353. Its 16 positive divisors give a proper-divisor sum of 151,465, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 509,760

Proper Divisor Sum 151,465

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #358291 ← → #358297

Radix Representation

Decimal	358295
Binary	1010111011110010111 (19 bits)
Octal	0o1273627
Hexadecimal	0x57797

Divisor Catalog (16)

1 5 7 29 35 145 203 353 1,015 1,765 2,471 10,237 12,355 51,185 71,659 358,295

Collatz Trajectory (166 steps to reach 1)

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

358,295 1,074,886 537,443 1,612,330 806,165 2,418,496 1,209,248 604,624 302,312 151,156 75,578 37,789 113,368 56,684 28,342 14,171 42,514 21,257 63,772 31,886 15,943 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380

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