372,522

2 × 3 × 47 × 1321

372,522 has digital root 3. The neighboring primes are 372511 and 372523; its proper-divisor sum differs from the starting integer by 16,428.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 1321

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 761,472

Proper Divisor Sum 388,950

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #372511 ← → #372523

Radix Representation

Decimal	372522
Binary	1011010111100101010 (19 bits)
Octal	0o1327452
Hexadecimal	0x5AF2A

Divisor Catalog (16)

1 2 3 6 47 94 141 282 1,321 2,642 3,963 7,926 62,087 124,174 186,261 372,522

Collatz Trajectory (135 steps to reach 1)

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

372,522 186,261 558,784 279,392 139,696 69,848 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395

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