4,327,072

2⁵ × 135221

4,327,072 factors as 2^5 × 135221. Its 12 positive divisors give a proper-divisor sum of 4,191,914, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^5 × 135221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,518,986

Proper Divisor Sum 4,191,914

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4327051 ← → #4327087

Radix Representation

Decimal	4327072
Binary	10000100000011010100000 (23 bits)
Octal	0o20403240
Hexadecimal	0x4206A0

Divisor Catalog (12)

1 2 4 8 16 32 135,221 270,442 540,884 1,081,768 2,163,536 4,327,072

Collatz Trajectory (66 steps to reach 1)

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

4,327,072 2,163,536 1,081,768 540,884 270,442 135,221 405,664 202,832 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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