391,356

2² × 3² × 7 × 1553

391,356 factors as 2^2 × 3^2 × 7 × 1553. Its 36 positive divisors give a proper-divisor sum of 739,956, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 1553

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,131,312

Proper Divisor Sum 739,956

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #391351 ← → #391367

Radix Representation

Decimal	391356
Binary	1011111100010111100 (19 bits)
Octal	0o1374274
Hexadecimal	0x5F8BC

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1,553 3,106 4,659 6,212 9,318 10,871 13,977 18,636 21,742 27,954 32,613 43,484 55,908 65,226 97,839 130,452 195,678 391,356

Collatz Trajectory (174 steps to reach 1)

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

391,356 195,678 97,839 293,518 146,759 440,278 220,139 660,418 330,209 990,628 495,314 247,657 742,972 371,486 185,743 557,230 278,615 835,846 417,923 1,253,770 626,885 1,880,656 940,328 470,164 235,082 117,541 352,624 176,312 88,156 44,078 22,039 66,118 33,059 99,178 49,589 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899

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