λ
Ratio Atlas

7,125,631

71 × 100361
Deficient Odd Composite

7,125,631 factors as 71 × 100361. Its 4 positive divisors give a proper-divisor sum of 100,433, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 71 × 100361
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,226,064
Proper Divisor Sum 100,433
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7125617 ← → #7125649

Radix Representation

Decimal 7125631
Binary 11011001011101001111111 (23 bits)
Octal 0o33135177
Hexadecimal 0x6CBA7F

Divisor Catalog (4)

1 71 100,361 7,125,631

Collatz Trajectory (98 steps to reach 1)

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

7,125,631 21,376,894 10,688,447 32,065,342 16,032,671 48,098,014 24,049,007 72,147,022 36,073,511 108,220,534 54,110,267 162,330,802 81,165,401 243,496,204 121,748,102 60,874,051 182,622,154 91,311,077 273,933,232 136,966,616 68,483,308 34,241,654 17,120,827 51,362,482 25,681,241 77,043,724 38,521,862 19,260,931 57,782,794 28,891,397 86,674,192 43,337,096 21,668,548 10,834,274 5,417,137 16,251,412 8,125,706 4,062,853 12,188,560 6,094,280 3,047,140 1,523,570 761,785 2,285,356 1,142,678 571,339 1,714,018 857,009 2,571,028 1,285,514 642,757 1,928,272 964,136 482,068 241,034 120,517 361,552 180,776 90,388 45,194

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