λ
Sigma Notebook

4,631,713

353 × 13121
Deficient Odd Composite

4,631,713 is odd and not a perfect square. Its factorization is 353 × 13121 and its 4 divisors sum to 4,645,188.

Prime Factor Structure

Factorization String 353 × 13121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,645,188
Proper Divisor Sum 13,475
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4631699 ← → #4631719

Radix Representation

Decimal 4631713
Binary 10001101010110010100001 (23 bits)
Octal 0o21526241
Hexadecimal 0x46ACA1

Divisor Catalog (4)

1 353 13,121 4,631,713

Collatz Trajectory (131 steps to reach 1)

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

4,631,713 13,895,140 6,947,570 3,473,785 10,421,356 5,210,678 2,605,339 7,816,018 3,908,009 11,724,028 5,862,014 2,931,007 8,793,022 4,396,511 13,189,534 6,594,767 19,784,302 9,892,151 29,676,454 14,838,227 44,514,682 22,257,341 66,772,024 33,386,012 16,693,006 8,346,503 25,039,510 12,519,755 37,559,266 18,779,633 56,338,900 28,169,450 14,084,725 42,254,176 21,127,088 10,563,544 5,281,772 2,640,886 1,320,443 3,961,330 1,980,665 5,941,996 2,970,998 1,485,499 4,456,498 2,228,249 6,684,748 3,342,374 1,671,187 5,013,562 2,506,781 7,520,344 3,760,172 1,880,086 940,043 2,820,130 1,410,065 4,230,196 2,115,098 1,057,549

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