λ
Prime Ledger

9,707,413

101 × 223 × 431
Deficient Odd Composite

9,707,413 has the prime decomposition 101 × 223 × 431. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 101 × 223 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,870,336
Proper Divisor Sum 162,923
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9707407 ← → #9707437

Radix Representation

Decimal 9707413
Binary 100101000001111110010101 (24 bits)
Octal 0o45017625
Hexadecimal 0x941F95

Divisor Catalog (8)

1 101 223 431 22,523 43,531 96,113 9,707,413

Collatz Trajectory (114 steps to reach 1)

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

9,707,413 29,122,240 14,561,120 7,280,560 3,640,280 1,820,140 910,070 455,035 1,365,106 682,553 2,047,660 1,023,830 511,915 1,535,746 767,873 2,303,620 1,151,810 575,905 1,727,716 863,858 431,929 1,295,788 647,894 323,947 971,842 485,921 1,457,764 728,882 364,441 1,093,324 546,662 273,331 819,994 409,997 1,229,992 614,996 307,498 153,749 461,248 230,624 115,312 57,656 28,828 14,414 7,207 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264

More profiles

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