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Atlas › Integer Profiles › Node 42,427,232

42,427,232

25 × 29 × 131 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 29 × 131 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,318,000
Proper Divisor Sum 44,890,768
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #42427219 ← → #42427241

Radix Representation

Decimal 42427232
Binary 10100001110110001101100000 (26 bits)
Octal 0o241661540
Hexadecimal 0x2876360

Divisor Catalog (48)

1 2 4 8 16 29 32 58 116 131 232 262 349 464 524 698 928 1,048 1,396 2,096 2,792 3,799 4,192 5,584 7,598 10,121 11,168 15,196 20,242 30,392 40,484 45,719 60,784 80,968 91,438 121,568 161,936 182,876 323,872 365,752 731,504 1,325,851 1,463,008 2,651,702 5,303,404 10,606,808 21,213,616 42,427,232

Collatz Trajectory (129 steps to reach 1)

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

42,427,232 21,213,616 10,606,808 5,303,404 2,651,702 1,325,851 3,977,554 1,988,777 5,966,332 2,983,166 1,491,583 4,474,750 2,237,375 6,712,126 3,356,063 10,068,190 5,034,095 15,102,286 7,551,143 22,653,430 11,326,715 33,980,146 16,990,073 50,970,220 25,485,110 12,742,555 38,227,666 19,113,833 57,341,500 28,670,750 14,335,375 43,006,126 21,503,063 64,509,190 32,254,595 96,763,786 48,381,893 145,145,680 72,572,840 36,286,420 18,143,210 9,071,605 27,214,816 13,607,408 6,803,704 3,401,852 1,700,926 850,463 2,551,390 1,275,695 3,827,086 1,913,543 5,740,630 2,870,315 8,610,946 4,305,473 12,916,420 6,458,210 3,229,105 9,687,316

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