λ
Prime Ledger

9,746,758

2 × 7 × 67 × 10391
Deficient Even Composite

9,746,758 has the prime decomposition 2 × 7 × 67 × 10391. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 10391
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,959,744
Proper Divisor Sum 7,212,986
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9746731 ← → #9746761

Radix Representation

Decimal 9746758
Binary 100101001011100101000110 (24 bits)
Octal 0o45134506
Hexadecimal 0x94B946

Divisor Catalog (16)

1 2 7 14 67 134 469 938 10,391 20,782 72,737 145,474 696,197 1,392,394 4,873,379 9,746,758

Collatz Trajectory (207 steps to reach 1)

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

9,746,758 4,873,379 14,620,138 7,310,069 21,930,208 10,965,104 5,482,552 2,741,276 1,370,638 685,319 2,055,958 1,027,979 3,083,938 1,541,969 4,625,908 2,312,954 1,156,477 3,469,432 1,734,716 867,358 433,679 1,301,038 650,519 1,951,558 975,779 2,927,338 1,463,669 4,391,008 2,195,504 1,097,752 548,876 274,438 137,219 411,658 205,829 617,488 308,744 154,372 77,186 38,593 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

More profiles

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