580,952

2³ × 101 × 719

580,952 factors as 2^3 × 101 × 719. Its 16 positive divisors give a proper-divisor sum of 520,648, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^3 × 101 × 719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,101,600

Proper Divisor Sum 520,648

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #580939 ← → #580969

Radix Representation

Decimal	580952
Binary	10001101110101011000 (20 bits)
Octal	0o2156530
Hexadecimal	0x8DD58

Divisor Catalog (16)

1 2 4 8 101 202 404 719 808 1,438 2,876 5,752 72,619 145,238 290,476 580,952

Collatz Trajectory (190 steps to reach 1)

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

580,952 290,476 145,238 72,619 217,858 108,929 326,788 163,394 81,697 245,092 122,546 61,273 183,820 91,910 45,955 137,866 68,933 206,800 103,400 51,700 25,850 12,925 38,776 19,388 9,694 4,847 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686

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