336,648

2³ × 3 × 13² × 83

336,648 has the prime decomposition 2^3 × 3 × 13^2 × 83. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 922,320

Proper Divisor Sum 585,672

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #336643 ← → #336649

Radix Representation

Decimal	336648
Binary	1010010001100001000 (19 bits)
Octal	0o1221410
Hexadecimal	0x52308

Divisor Catalog (48)

1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 169 249 312 332 338 498 507 664 676 996 1,014 1,079 1,352 1,992 2,028 2,158 3,237 4,056 4,316 6,474 8,632 12,948 14,027 25,896 28,054 42,081 56,108 84,162 112,216 168,324 336,648

Collatz Trajectory (184 steps to reach 1)

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

336,648 168,324 84,162 42,081 126,244 63,122 31,561 94,684 47,342 23,671 71,014 35,507 106,522 53,261 159,784 79,892 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850

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