21,616,005

3 × 5 × 47 × 30661

21,616,005 factors as 3 × 5 × 47 × 30661. Its 16 positive divisors give a proper-divisor sum of 13,706,619, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 5 × 47 × 30661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 35,322,624

Proper Divisor Sum 13,706,619

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #21616003 ← → #21616019

Radix Representation

Decimal	21616005
Binary	1010010011101010110000101 (25 bits)
Octal	0o122352605
Hexadecimal	0x149D585

Divisor Catalog (16)

1 3 5 15 47 141 235 705 30,661 91,983 153,305 459,915 1,441,067 4,323,201 7,205,335 21,616,005

Collatz Trajectory (141 steps to reach 1)

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

21,616,005 64,848,016 32,424,008 16,212,004 8,106,002 4,053,001 12,159,004 6,079,502 3,039,751 9,119,254 4,559,627 13,678,882 6,839,441 20,518,324 10,259,162 5,129,581 15,388,744 7,694,372 3,847,186 1,923,593 5,770,780 2,885,390 1,442,695 4,328,086 2,164,043 6,492,130 3,246,065 9,738,196 4,869,098 2,434,549 7,303,648 3,651,824 1,825,912 912,956 456,478 228,239 684,718 342,359 1,027,078 513,539 1,540,618 770,309 2,310,928 1,155,464 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701 137,104

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