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6,416,616

23 × 3 × 17 × 15727
Abundant Even Composite

6,416,616 factors as 2^3 × 3 × 17 × 15727. Its 32 positive divisors give a proper-divisor sum of 10,569,624, so this integer is abundant. The Collatz stopping time is 315 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 15727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,986,240
Proper Divisor Sum 10,569,624
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6416611 ← → #6416629

Radix Representation

Decimal 6416616
Binary 11000011110100011101000 (23 bits)
Octal 0o30364350
Hexadecimal 0x61E8E8

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 15,727 31,454 47,181 62,908 94,362 125,816 188,724 267,359 377,448 534,718 802,077 1,069,436 1,604,154 2,138,872 3,208,308 6,416,616

Collatz Trajectory (315 steps to reach 1)

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

6,416,616 3,208,308 1,604,154 802,077 2,406,232 1,203,116 601,558 300,779 902,338 451,169 1,353,508 676,754 338,377 1,015,132 507,566 253,783 761,350 380,675 1,142,026 571,013 1,713,040 856,520 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154

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