λ
Integer Codex

7,645,772

22 × 47 × 67 × 607
Deficient Even Composite

For 7,645,772, the 24 positive divisors have a total of 13,891,584. Removing 7,645,772 leaves 6,245,812, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 47 × 67 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,891,584
Proper Divisor Sum 6,245,812
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7645753 ← → #7645783

Radix Representation

Decimal 7645772
Binary 11101001010101001001100 (23 bits)
Octal 0o35125114
Hexadecimal 0x74AA4C

Divisor Catalog (24)

1 2 4 47 67 94 134 188 268 607 1,214 2,428 3,149 6,298 12,596 28,529 40,669 57,058 81,338 114,116 162,676 1,911,443 3,822,886 7,645,772

Collatz Trajectory (85 steps to reach 1)

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

7,645,772 3,822,886 1,911,443 5,734,330 2,867,165 8,601,496 4,300,748 2,150,374 1,075,187 3,225,562 1,612,781 4,838,344 2,419,172 1,209,586 604,793 1,814,380 907,190 453,595 1,360,786 680,393 2,041,180 1,020,590 510,295 1,530,886 765,443 2,296,330 1,148,165 3,444,496 1,722,248 861,124 430,562 215,281 645,844 322,922 161,461 484,384 242,192 121,096 60,548 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086

More profiles

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