4,334,592

2¹⁰ × 3 × 17 × 83

4,334,592 factors as 2^10 × 3 × 17 × 83. Its 88 positive divisors give a proper-divisor sum of 8,045,664, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^10 × 3 × 17 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 12,380,256

Proper Divisor Sum 8,045,664

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4334581 ← → #4334593

Radix Representation

Decimal	4334592
Binary	10000100010010000000000 (23 bits)
Octal	0o20422000
Hexadecimal	0x422400

Divisor Catalog (60 of 88)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 256 272 332 384 408 498 512 544 664 768 816 996 1,024 1,088 1,328 1,411 1,536 1,632 1,992 2,176 2,656 2,822 3,072 3,264 3,984 4,233 4,352 5,312 5,644 6,528 7,968 8,466 8,704 10,624 11,288

Collatz Trajectory (211 steps to reach 1)

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

4,334,592 2,167,296 1,083,648 541,824 270,912 135,456 67,728 33,864 16,932 8,466 4,233 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585

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