357,201

3² × 13 × 43 × 71

357,201 factors as 3^2 × 13 × 43 × 71. Its 24 positive divisors give a proper-divisor sum of 219,375, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 43 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 576,576

Proper Divisor Sum 219,375

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #357199 ← → #357211

Radix Representation

Decimal	357201
Binary	1010111001101010001 (19 bits)
Octal	0o1271521
Hexadecimal	0x57351

Divisor Catalog (24)

1 3 9 13 39 43 71 117 129 213 387 559 639 923 1,677 2,769 3,053 5,031 8,307 9,159 27,477 39,689 119,067 357,201

Collatz Trajectory (148 steps to reach 1)

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

357,201 1,071,604 535,802 267,901 803,704 401,852 200,926 100,463 301,390 150,695 452,086 226,043 678,130 339,065 1,017,196 508,598 254,299 762,898 381,449 1,144,348 572,174 286,087 858,262 429,131 1,287,394 643,697 1,931,092 965,546 482,773 1,448,320 724,160 362,080 181,040 90,520 45,260 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606

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