λ
Prime Ledger

9,465,963

3 × 13 × 251 × 967
Deficient Odd Composite

9,465,963 has the prime decomposition 3 × 13 × 251 × 967. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 251 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,660,416
Proper Divisor Sum 4,194,453
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9465931 ← → #9465979

Radix Representation

Decimal 9465963
Binary 100100000111000001101011 (24 bits)
Octal 0o44070153
Hexadecimal 0x90706B

Divisor Catalog (16)

1 3 13 39 251 753 967 2,901 3,263 9,789 12,571 37,713 242,717 728,151 3,155,321 9,465,963

Collatz Trajectory (207 steps to reach 1)

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

9,465,963 28,397,890 14,198,945 42,596,836 21,298,418 10,649,209 31,947,628 15,973,814 7,986,907 23,960,722 11,980,361 35,941,084 17,970,542 8,985,271 26,955,814 13,477,907 40,433,722 20,216,861 60,650,584 30,325,292 15,162,646 7,581,323 22,743,970 11,371,985 34,115,956 17,057,978 8,528,989 25,586,968 12,793,484 6,396,742 3,198,371 9,595,114 4,797,557 14,392,672 7,196,336 3,598,168 1,799,084 899,542 449,771 1,349,314 674,657 2,023,972 1,011,986 505,993 1,517,980 758,990 379,495 1,138,486 569,243 1,707,730 853,865 2,561,596 1,280,798 640,399 1,921,198 960,599 2,881,798 1,440,899 4,322,698 2,161,349

More profiles

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