λ
Integer Codex

7,637,003

11 × 694273
Deficient Odd Composite

For 7,637,003, the 4 positive divisors have a total of 8,331,288. Removing 7,637,003 leaves 694,285, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 694273
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,331,288
Proper Divisor Sum 694,285
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7636999 ← → #7637011

Radix Representation

Decimal 7637003
Binary 11101001000100000001011 (23 bits)
Octal 0o35104013
Hexadecimal 0x74880B

Divisor Catalog (4)

1 11 694,273 7,637,003

Collatz Trajectory (279 steps to reach 1)

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

7,637,003 22,911,010 11,455,505 34,366,516 17,183,258 8,591,629 25,774,888 12,887,444 6,443,722 3,221,861 9,665,584 4,832,792 2,416,396 1,208,198 604,099 1,812,298 906,149 2,718,448 1,359,224 679,612 339,806 169,903 509,710 254,855 764,566 382,283 1,146,850 573,425 1,720,276 860,138 430,069 1,290,208 645,104 322,552 161,276 80,638 40,319 120,958 60,479 181,438 90,719 272,158 136,079 408,238 204,119 612,358 306,179 918,538 459,269 1,377,808 688,904 344,452 172,226 86,113 258,340 129,170 64,585 193,756 96,878 48,439

More profiles

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