λ
Match Zalai

581,104

24 × 36319
Deficient Even Composite

581,104 factors as 2^4 × 36319. Its 10 positive divisors give a proper-divisor sum of 544,816, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 36319
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 1,125,920
Proper Divisor Sum 544,816
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #581101 ← → #581137

Radix Representation

Decimal 581104
Binary 10001101110111110000 (20 bits)
Octal 0o2156760
Hexadecimal 0x8DDF0

Divisor Catalog (10)

1 2 4 8 16 36,319 72,638 145,276 290,552 581,104

Collatz Trajectory (102 steps to reach 1)

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

581,104 290,552 145,276 72,638 36,319 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118

More profiles

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