λ
Integer Codex

722,917

13 × 55609
Deficient Odd Composite

For 722,917, the 4 positive divisors have a total of 778,540. Removing 722,917 leaves 55,623, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 55609
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 778,540
Proper Divisor Sum 55,623
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #722903 ← → #722921

Radix Representation

Decimal 722917
Binary 10110000011111100101 (20 bits)
Octal 0o2603745
Hexadecimal 0xB07E5

Divisor Catalog (4)

1 13 55,609 722,917

Collatz Trajectory (167 steps to reach 1)

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

722,917 2,168,752 1,084,376 542,188 271,094 135,547 406,642 203,321 609,964 304,982 152,491 457,474 228,737 686,212 343,106 171,553 514,660 257,330 128,665 385,996 192,998 96,499 289,498 144,749 434,248 217,124 108,562 54,281 162,844 81,422 40,711 122,134 61,067 183,202 91,601 274,804 137,402 68,701 206,104 103,052 51,526 25,763 77,290 38,645 115,936 57,968 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520

More profiles

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