λ
Prime Ledger

9,096,458

2 × 72 × 92821
Deficient Even Composite

9,096,458 has the prime decomposition 2 × 7^2 × 92821. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 92821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,872,562
Proper Divisor Sum 6,776,104
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9096433 ← → #9096481

Radix Representation

Decimal 9096458
Binary 100010101100110100001010 (24 bits)
Octal 0o42546412
Hexadecimal 0x8ACD0A

Divisor Catalog (12)

1 2 7 14 49 98 92,821 185,642 649,747 1,299,494 4,548,229 9,096,458

Collatz Trajectory (181 steps to reach 1)

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

9,096,458 4,548,229 13,644,688 6,822,344 3,411,172 1,705,586 852,793 2,558,380 1,279,190 639,595 1,918,786 959,393 2,878,180 1,439,090 719,545 2,158,636 1,079,318 539,659 1,618,978 809,489 2,428,468 1,214,234 607,117 1,821,352 910,676 455,338 227,669 683,008 341,504 170,752 85,376 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638

More profiles

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