λ
Integer Codex

4,872,831

3 × 1624277
Deficient Odd Composite

For 4,872,831, the 4 positive divisors have a total of 6,497,112. Removing 4,872,831 leaves 1,624,281, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 1624277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,497,112
Proper Divisor Sum 1,624,281
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4872817 ← → #4872853

Radix Representation

Decimal 4872831
Binary 10010100101101001111111 (23 bits)
Octal 0o22455177
Hexadecimal 0x4A5A7F

Divisor Catalog (4)

1 3 1,624,277 4,872,831

Collatz Trajectory (206 steps to reach 1)

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

4,872,831 14,618,494 7,309,247 21,927,742 10,963,871 32,891,614 16,445,807 49,337,422 24,668,711 74,006,134 37,003,067 111,009,202 55,504,601 166,513,804 83,256,902 41,628,451 124,885,354 62,442,677 187,328,032 93,664,016 46,832,008 23,416,004 11,708,002 5,854,001 17,562,004 8,781,002 4,390,501 13,171,504 6,585,752 3,292,876 1,646,438 823,219 2,469,658 1,234,829 3,704,488 1,852,244 926,122 463,061 1,389,184 694,592 347,296 173,648 86,824 43,412 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859

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