610,791

3 × 73 × 2789

For 610,791, the 8 positive divisors have a total of 825,840. Removing 610,791 leaves 215,049, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 73 × 2789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 825,840

Proper Divisor Sum 215,049

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #610787 ← → #610801

Radix Representation

Decimal	610791
Binary	10010101000111100111 (20 bits)
Octal	0o2250747
Hexadecimal	0x951E7

Divisor Catalog (8)

1 3 73 219 2,789 8,367 203,597 610,791

Collatz Trajectory (172 steps to reach 1)

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

610,791 1,832,374 916,187 2,748,562 1,374,281 4,122,844 2,061,422 1,030,711 3,092,134 1,546,067 4,638,202 2,319,101 6,957,304 3,478,652 1,739,326 869,663 2,608,990 1,304,495 3,913,486 1,956,743 5,870,230 2,935,115 8,805,346 4,402,673 13,208,020 6,604,010 3,302,005 9,906,016 4,953,008 2,476,504 1,238,252 619,126 309,563 928,690 464,345 1,393,036 696,518 348,259 1,044,778 522,389 1,567,168 783,584 391,792 195,896 97,948 48,974 24,487 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468

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