16,624,192

2⁶ × 13² × 29 × 53

16,624,192 factors as 2^6 × 13^2 × 29 × 53. Its 84 positive divisors give a proper-divisor sum of 21,026,228, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^6 × 13^2 × 29 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 37,650,420

Proper Divisor Sum 21,026,228

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #16624189 ← → #16624219

Radix Representation

Decimal	16624192
Binary	111111011010101001000000 (24 bits)
Octal	0o77325100
Hexadecimal	0xFDAA40

Divisor Catalog (60 of 84)

1 2 4 8 13 16 26 29 32 52 53 58 64 104 106 116 169 208 212 232 338 377 416 424 464 676 689 754 832 848 928 1,352 1,378 1,508 1,537 1,696 1,856 2,704 2,756 3,016 3,074 3,392 4,901 5,408 5,512 6,032 6,148 8,957 9,802 10,816 11,024 12,064 12,296 17,914 19,604 19,981 22,048 24,128 24,592 35,828

Collatz Trajectory (156 steps to reach 1)

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

16,624,192 8,312,096 4,156,048 2,078,024 1,039,012 519,506 259,753 779,260 389,630 194,815 584,446 292,223 876,670 438,335 1,315,006 657,503 1,972,510 986,255 2,958,766 1,479,383 4,438,150 2,219,075 6,657,226 3,328,613 9,985,840 4,992,920 2,496,460 1,248,230 624,115 1,872,346 936,173 2,808,520 1,404,260 702,130 351,065 1,053,196 526,598 263,299 789,898 394,949 1,184,848 592,424 296,212 148,106 74,053 222,160 111,080 55,540 27,770 13,885 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576

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