370,623

3 × 11² × 1021

370,623 factors as 3 × 11^2 × 1021. Its 12 positive divisors give a proper-divisor sum of 173,081, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 1021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 543,704

Proper Divisor Sum 173,081

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #370619 ← → #370631

Radix Representation

Decimal	370623
Binary	1011010011110111111 (19 bits)
Octal	0o1323677
Hexadecimal	0x5A7BF

Divisor Catalog (12)

1 3 11 33 121 363 1,021 3,063 11,231 33,693 123,541 370,623

Collatz Trajectory (179 steps to reach 1)

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

370,623 1,111,870 555,935 1,667,806 833,903 2,501,710 1,250,855 3,752,566 1,876,283 5,628,850 2,814,425 8,443,276 4,221,638 2,110,819 6,332,458 3,166,229 9,498,688 4,749,344 2,374,672 1,187,336 593,668 296,834 148,417 445,252 222,626 111,313 333,940 166,970 83,485 250,456 125,228 62,614 31,307 93,922 46,961 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356

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