λ
Integer Codex

9,880,521

3 × 7 × 470501
Deficient Odd Composite

For 9,880,521, the 8 positive divisors have a total of 15,056,064. Removing 9,880,521 leaves 5,175,543, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 470501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,056,064
Proper Divisor Sum 5,175,543
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9880489 ← → #9880529

Radix Representation

Decimal 9880521
Binary 100101101100001111001001 (24 bits)
Octal 0o45541711
Hexadecimal 0x96C3C9

Divisor Catalog (8)

1 3 7 21 470,501 1,411,503 3,293,507 9,880,521

Collatz Trajectory (313 steps to reach 1)

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

9,880,521 29,641,564 14,820,782 7,410,391 22,231,174 11,115,587 33,346,762 16,673,381 50,020,144 25,010,072 12,505,036 6,252,518 3,126,259 9,378,778 4,689,389 14,068,168 7,034,084 3,517,042 1,758,521 5,275,564 2,637,782 1,318,891 3,956,674 1,978,337 5,935,012 2,967,506 1,483,753 4,451,260 2,225,630 1,112,815 3,338,446 1,669,223 5,007,670 2,503,835 7,511,506 3,755,753 11,267,260 5,633,630 2,816,815 8,450,446 4,225,223 12,675,670 6,337,835 19,013,506 9,506,753 28,520,260 14,260,130 7,130,065 21,390,196 10,695,098 5,347,549 16,042,648 8,021,324 4,010,662 2,005,331 6,015,994 3,007,997 9,023,992 4,511,996 2,255,998

More profiles

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