λ
Prime Ledger

723,016

23 × 7 × 12911
Abundant Even Composite

723,016 has the prime decomposition 2^3 × 7 × 12911. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 12911
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,549,440
Proper Divisor Sum 826,424
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #722983 ← → #723029

Radix Representation

Decimal 723016
Binary 10110000100001001000 (20 bits)
Octal 0o2604110
Hexadecimal 0xB0848

Divisor Catalog (16)

1 2 4 7 8 14 28 56 12,911 25,822 51,644 90,377 103,288 180,754 361,508 723,016

Collatz Trajectory (66 steps to reach 1)

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

723,016 361,508 180,754 90,377 271,132 135,566 67,783 203,350 101,675 305,026 152,513 457,540 228,770 114,385 343,156 171,578 85,789 257,368 128,684 64,342 32,171 96,514 48,257 144,772 72,386 36,193 108,580 54,290 27,145 81,436 40,718 20,359 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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