12,822,520

2³ × 5 × 320563

12,822,520 factors as 2^3 × 5 × 320563. Its 16 positive divisors give a proper-divisor sum of 16,028,240, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 320563

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 28,850,760

Proper Divisor Sum 16,028,240

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #12822517 ← → #12822521

Radix Representation

Decimal	12822520
Binary	110000111010011111111000 (24 bits)
Octal	0o60723770
Hexadecimal	0xC3A7F8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 320,563 641,126 1,282,252 1,602,815 2,564,504 3,205,630 6,411,260 12,822,520

Collatz Trajectory (148 steps to reach 1)

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

12,822,520 6,411,260 3,205,630 1,602,815 4,808,446 2,404,223 7,212,670 3,606,335 10,819,006 5,409,503 16,228,510 8,114,255 24,342,766 12,171,383 36,514,150 18,257,075 54,771,226 27,385,613 82,156,840 41,078,420 20,539,210 10,269,605 30,808,816 15,404,408 7,702,204 3,851,102 1,925,551 5,776,654 2,888,327 8,664,982 4,332,491 12,997,474 6,498,737 19,496,212 9,748,106 4,874,053 14,622,160 7,311,080 3,655,540 1,827,770 913,885 2,741,656 1,370,828 685,414 342,707 1,028,122 514,061 1,542,184 771,092 385,546 192,773 578,320 289,160 144,580 72,290 36,145 108,436 54,218 27,109 81,328

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