λ
Prime Ledger

9,722,613

3 × 1217 × 2663
Deficient Odd Composite

9,722,613 has the prime decomposition 3 × 1217 × 2663. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1217 × 2663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,979,008
Proper Divisor Sum 3,256,395
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9722611 ← → #9722621

Radix Representation

Decimal 9722613
Binary 100101000101101011110101 (24 bits)
Octal 0o45055365
Hexadecimal 0x945AF5

Divisor Catalog (8)

1 3 1,217 2,663 3,651 7,989 3,240,871 9,722,613

Collatz Trajectory (88 steps to reach 1)

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

9,722,613 29,167,840 14,583,920 7,291,960 3,645,980 1,822,990 911,495 2,734,486 1,367,243 4,101,730 2,050,865 6,152,596 3,076,298 1,538,149 4,614,448 2,307,224 1,153,612 576,806 288,403 865,210 432,605 1,297,816 648,908 324,454 162,227 486,682 243,341 730,024 365,012 182,506 91,253 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714

More profiles

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