4,559,624

2³ × 463 × 1231

4,559,624 factors as 2^3 × 463 × 1231. Its 16 positive divisors give a proper-divisor sum of 4,015,096, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 463 × 1231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,574,720

Proper Divisor Sum 4,015,096

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4559623 ← → #4559629

Radix Representation

Decimal	4559624
Binary	10001011001001100001000 (23 bits)
Octal	0o21311410
Hexadecimal	0x459308

Divisor Catalog (16)

1 2 4 8 463 926 1,231 1,852 2,462 3,704 4,924 9,848 569,953 1,139,906 2,279,812 4,559,624

Collatz Trajectory (105 steps to reach 1)

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

4,559,624 2,279,812 1,139,906 569,953 1,709,860 854,930 427,465 1,282,396 641,198 320,599 961,798 480,899 1,442,698 721,349 2,164,048 1,082,024 541,012 270,506 135,253 405,760 202,880 101,440 50,720 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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