3,723,767

109 × 127 × 269

For 3,723,767, the 8 positive divisors have a total of 3,801,600. Removing 3,723,767 leaves 77,833, which gives the deficient classification.

Prime Factor Structure

Factorization String 109 × 127 × 269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,801,600

Proper Divisor Sum 77,833

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3723749 ← → #3723773

Radix Representation

Decimal	3723767
Binary	1110001101000111110111 (22 bits)
Octal	0o16150767
Hexadecimal	0x38D1F7

Divisor Catalog (8)

1 109 127 269 13,843 29,321 34,163 3,723,767

Collatz Trajectory (415 steps to reach 1)

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

3,723,767 11,171,302 5,585,651 16,756,954 8,378,477 25,135,432 12,567,716 6,283,858 3,141,929 9,425,788 4,712,894 2,356,447 7,069,342 3,534,671 10,604,014 5,302,007 15,906,022 7,953,011 23,859,034 11,929,517 35,788,552 17,894,276 8,947,138 4,473,569 13,420,708 6,710,354 3,355,177 10,065,532 5,032,766 2,516,383 7,549,150 3,774,575 11,323,726 5,661,863 16,985,590 8,492,795 25,478,386 12,739,193 38,217,580 19,108,790 9,554,395 28,663,186 14,331,593 42,994,780 21,497,390 10,748,695 32,246,086 16,123,043 48,369,130 24,184,565 72,553,696 36,276,848 18,138,424 9,069,212 4,534,606 2,267,303 6,801,910 3,400,955 10,202,866 5,101,433

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