27,630,832

2⁴ × 1726927

27,630,832 factors as 2^4 × 1726927. Its 10 positive divisors give a proper-divisor sum of 25,903,936, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^4 × 1726927

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 53,534,768

Proper Divisor Sum 25,903,936

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27630817 ← → #27630839

Radix Representation

Decimal	27630832
Binary	1101001011001110011110000 (25 bits)
Octal	0o151316360
Hexadecimal	0x1A59CF0

Divisor Catalog (10)

1 2 4 8 16 1,726,927 3,453,854 6,907,708 13,815,416 27,630,832

Collatz Trajectory (224 steps to reach 1)

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

27,630,832 13,815,416 6,907,708 3,453,854 1,726,927 5,180,782 2,590,391 7,771,174 3,885,587 11,656,762 5,828,381 17,485,144 8,742,572 4,371,286 2,185,643 6,556,930 3,278,465 9,835,396 4,917,698 2,458,849 7,376,548 3,688,274 1,844,137 5,532,412 2,766,206 1,383,103 4,149,310 2,074,655 6,223,966 3,111,983 9,335,950 4,667,975 14,003,926 7,001,963 21,005,890 10,502,945 31,508,836 15,754,418 7,877,209 23,631,628 11,815,814 5,907,907 17,723,722 8,861,861 26,585,584 13,292,792 6,646,396 3,323,198 1,661,599 4,984,798 2,492,399 7,477,198 3,738,599 11,215,798 5,607,899 16,823,698 8,411,849 25,235,548 12,617,774 6,308,887

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