λ
Prime Ledger

1,225,988

22 × 31 × 9887
Deficient Even Composite

1,225,988 has the prime decomposition 2^2 × 31 × 9887. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 9887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,214,912
Proper Divisor Sum 988,924
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1225981 ← → #1225997

Radix Representation

Decimal 1225988
Binary 100101011010100000100 (21 bits)
Octal 0o4532404
Hexadecimal 0x12B504

Divisor Catalog (12)

1 2 4 31 62 124 9,887 19,774 39,548 306,497 612,994 1,225,988

Collatz Trajectory (160 steps to reach 1)

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

1,225,988 612,994 306,497 919,492 459,746 229,873 689,620 344,810 172,405 517,216 258,608 129,304 64,652 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

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