λ
Integer Codex

9,216,627

3 × 7 × 438887
Deficient Odd Composite

For 9,216,627, the 8 positive divisors have a total of 14,044,416. Removing 9,216,627 leaves 4,827,789, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 438887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,044,416
Proper Divisor Sum 4,827,789
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9216611 ← → #9216631

Radix Representation

Decimal 9216627
Binary 100011001010001001110011 (24 bits)
Octal 0o43121163
Hexadecimal 0x8CA273

Divisor Catalog (8)

1 3 7 21 438,887 1,316,661 3,072,209 9,216,627

Collatz Trajectory (256 steps to reach 1)

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

9,216,627 27,649,882 13,824,941 41,474,824 20,737,412 10,368,706 5,184,353 15,553,060 7,776,530 3,888,265 11,664,796 5,832,398 2,916,199 8,748,598 4,374,299 13,122,898 6,561,449 19,684,348 9,842,174 4,921,087 14,763,262 7,381,631 22,144,894 11,072,447 33,217,342 16,608,671 49,826,014 24,913,007 74,739,022 37,369,511 112,108,534 56,054,267 168,162,802 84,081,401 252,244,204 126,122,102 63,061,051 189,183,154 94,591,577 283,774,732 141,887,366 70,943,683 212,831,050 106,415,525 319,246,576 159,623,288 79,811,644 39,905,822 19,952,911 59,858,734 29,929,367 89,788,102 44,894,051 134,682,154 67,341,077 202,023,232 101,011,616 50,505,808 25,252,904 12,626,452

More profiles

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