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Atlas › Integer Profiles › Node 43,327,232

43,327,232

28 × 13 × 47 × 277
Abundant Even Composite

43,327,232 factors as 2^8 × 13 × 47 × 277. Its 72 positive divisors give a proper-divisor sum of 52,135,744, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^8 × 13 × 47 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 95,462,976
Proper Divisor Sum 52,135,744
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #43327231 ← → #43327261

Radix Representation

Decimal 43327232
Binary 10100101010001111100000000 (26 bits)
Octal 0o245217400
Hexadecimal 0x2951F00

Divisor Catalog (60 of 72)

1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 277 376 416 554 611 752 832 1,108 1,222 1,504 1,664 2,216 2,444 3,008 3,328 3,601 4,432 4,888 6,016 7,202 8,864 9,776 12,032 13,019 14,404 17,728 19,552 26,038 28,808 35,456 39,104 52,076 57,616 70,912 78,208 104,152 115,232 156,416 169,247 208,304 230,464 338,494 416,608

Collatz Trajectory (160 steps to reach 1)

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

43,327,232 21,663,616 10,831,808 5,415,904 2,707,952 1,353,976 676,988 338,494 169,247 507,742 253,871 761,614 380,807 1,142,422 571,211 1,713,634 856,817 2,570,452 1,285,226 642,613 1,927,840 963,920 481,960 240,980 120,490 60,245 180,736 90,368 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

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