λ
Integer Codex

316,104

23 × 3 × 13171
Abundant Even Composite

For 316,104, the 16 positive divisors have a total of 790,320. Removing 316,104 leaves 474,216, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 13171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 790,320
Proper Divisor Sum 474,216
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #316097 ← → #316109

Radix Representation

Decimal 316104
Binary 1001101001011001000 (19 bits)
Octal 0o1151310
Hexadecimal 0x4D2C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 13,171 26,342 39,513 52,684 79,026 105,368 158,052 316,104

Collatz Trajectory (127 steps to reach 1)

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

316,104 158,052 79,026 39,513 118,540 59,270 29,635 88,906 44,453 133,360 66,680 33,340 16,670 8,335 25,006 12,503 37,510 18,755 56,266 28,133 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335

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