λ
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12,416,570

2 × 5 × 732 × 233
Deficient Even Composite

12,416,570 factors as 2 × 5 × 73^2 × 233. Its 24 positive divisors give a proper-divisor sum of 10,340,866, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 5 × 73^2 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,757,436
Proper Divisor Sum 10,340,866
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12416567 ← → #12416603

Radix Representation

Decimal 12416570
Binary 101111010111011000111010 (24 bits)
Octal 0o57273072
Hexadecimal 0xBD763A

Divisor Catalog (24)

1 2 5 10 73 146 233 365 466 730 1,165 2,330 5,329 10,658 17,009 26,645 34,018 53,290 85,045 170,090 1,241,657 2,483,314 6,208,285 12,416,570

Collatz Trajectory (91 steps to reach 1)

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

12,416,570 6,208,285 18,624,856 9,312,428 4,656,214 2,328,107 6,984,322 3,492,161 10,476,484 5,238,242 2,619,121 7,857,364 3,928,682 1,964,341 5,893,024 2,946,512 1,473,256 736,628 368,314 184,157 552,472 276,236 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188

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