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Atlas › Integer Profiles › Node 80,438,043

80,438,043

3 × 7 × 73 × 137 × 383
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 73 × 137 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,485,056
Proper Divisor Sum 45,047,013
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #80438027 ← → #80438051

Radix Representation

Decimal 80438043
Binary 100110010110110001100011011 (27 bits)
Octal 0o462661433
Hexadecimal 0x4CB631B

Divisor Catalog (32)

1 3 7 21 73 137 219 383 411 511 959 1,149 1,533 2,681 2,877 8,043 10,001 27,959 30,003 52,471 70,007 83,877 157,413 195,713 210,021 367,297 587,139 1,101,891 3,830,383 11,491,149 26,812,681 80,438,043

Collatz Trajectory (210 steps to reach 1)

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

80,438,043 241,314,130 120,657,065 361,971,196 180,985,598 90,492,799 271,478,398 135,739,199 407,217,598 203,608,799 610,826,398 305,413,199 916,239,598 458,119,799 1,374,359,398 687,179,699 2,061,539,098 1,030,769,549 3,092,308,648 1,546,154,324 773,077,162 386,538,581 1,159,615,744 579,807,872 289,903,936 144,951,968 72,475,984 36,237,992 18,118,996 9,059,498 4,529,749 13,589,248 6,794,624 3,397,312 1,698,656 849,328 424,664 212,332 106,166 53,083 159,250 79,625 238,876 119,438 59,719 179,158 89,579 268,738 134,369 403,108 201,554 100,777 302,332 151,166 75,583 226,750 113,375 340,126 170,063 510,190

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