λ
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6,485,960

23 × 5 × 13 × 12473
Abundant Even Composite

6,485,960 factors as 2^3 × 5 × 13 × 12473. Its 32 positive divisors give a proper-divisor sum of 9,231,280, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 12473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,717,240
Proper Divisor Sum 9,231,280
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6485951 ← → #6485971

Radix Representation

Decimal 6485960
Binary 11000101111011111001000 (23 bits)
Octal 0o30573710
Hexadecimal 0x62F7C8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 12,473 24,946 49,892 62,365 99,784 124,730 162,149 249,460 324,298 498,920 648,596 810,745 1,297,192 1,621,490 3,242,980 6,485,960

Collatz Trajectory (165 steps to reach 1)

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

6,485,960 3,242,980 1,621,490 810,745 2,432,236 1,216,118 608,059 1,824,178 912,089 2,736,268 1,368,134 684,067 2,052,202 1,026,101 3,078,304 1,539,152 769,576 384,788 192,394 96,197 288,592 144,296 72,148 36,074 18,037 54,112 27,056 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144

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