λ
Integer Codex

8,108,618

2 × 72 × 97 × 853
Deficient Even Composite

For 8,108,618, the 24 positive divisors have a total of 14,311,332. Removing 8,108,618 leaves 6,202,714, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 97 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,311,332
Proper Divisor Sum 6,202,714
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8108593 ← → #8108641

Radix Representation

Decimal 8108618
Binary 11110111011101001001010 (23 bits)
Octal 0o36735112
Hexadecimal 0x7BBA4A

Divisor Catalog (24)

1 2 7 14 49 97 98 194 679 853 1,358 1,706 4,753 5,971 9,506 11,942 41,797 82,741 83,594 165,482 579,187 1,158,374 4,054,309 8,108,618

Collatz Trajectory (230 steps to reach 1)

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

8,108,618 4,054,309 12,162,928 6,081,464 3,040,732 1,520,366 760,183 2,280,550 1,140,275 3,420,826 1,710,413 5,131,240 2,565,620 1,282,810 641,405 1,924,216 962,108 481,054 240,527 721,582 360,791 1,082,374 541,187 1,623,562 811,781 2,435,344 1,217,672 608,836 304,418 152,209 456,628 228,314 114,157 342,472 171,236 85,618 42,809 128,428 64,214 32,107 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434

More profiles

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