646,438

2 × 13 × 23² × 47

646,438 is even and not a perfect square. Its factorization is 2 × 13 × 23^2 × 47 and its 24 divisors sum to 1,114,848.

Prime Factor Structure

Factorization String 2 × 13 × 23^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,114,848

Proper Divisor Sum 468,410

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #646433 ← → #646453

Radix Representation

Decimal	646438
Binary	10011101110100100110 (20 bits)
Octal	0o2356446
Hexadecimal	0x9DD26

Divisor Catalog (24)

1 2 13 23 26 46 47 94 299 529 598 611 1,058 1,081 1,222 2,162 6,877 13,754 14,053 24,863 28,106 49,726 323,219 646,438

Collatz Trajectory (216 steps to reach 1)

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

646,438 323,219 969,658 484,829 1,454,488 727,244 363,622 181,811 545,434 272,717 818,152 409,076 204,538 102,269 306,808 153,404 76,702 38,351 115,054 57,527 172,582 86,291 258,874 129,437 388,312 194,156 97,078 48,539 145,618 72,809 218,428 109,214 54,607 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602

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