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Atlas › Integer Profiles › Node 42,434,830

42,434,830

2 × 5 × 29 × 131 × 1117
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 29 × 131 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,691,040
Proper Divisor Sum 37,256,210
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #42434803 ← → #42434831

Radix Representation

Decimal 42434830
Binary 10100001111000000100001110 (26 bits)
Octal 0o241700416
Hexadecimal 0x287810E

Divisor Catalog (32)

1 2 5 10 29 58 131 145 262 290 655 1,117 1,310 2,234 3,799 5,585 7,598 11,170 18,995 32,393 37,990 64,786 146,327 161,965 292,654 323,930 731,635 1,463,270 4,243,483 8,486,966 21,217,415 42,434,830

Collatz Trajectory (160 steps to reach 1)

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

42,434,830 21,217,415 63,652,246 31,826,123 95,478,370 47,739,185 143,217,556 71,608,778 35,804,389 107,413,168 53,706,584 26,853,292 13,426,646 6,713,323 20,139,970 10,069,985 30,209,956 15,104,978 7,552,489 22,657,468 11,328,734 5,664,367 16,993,102 8,496,551 25,489,654 12,744,827 38,234,482 19,117,241 57,351,724 28,675,862 14,337,931 43,013,794 21,506,897 64,520,692 32,260,346 16,130,173 48,390,520 24,195,260 12,097,630 6,048,815 18,146,446 9,073,223 27,219,670 13,609,835 40,829,506 20,414,753 61,244,260 30,622,130 15,311,065 45,933,196 22,966,598 11,483,299 34,449,898 17,224,949 51,674,848 25,837,424 12,918,712 6,459,356 3,229,678 1,614,839

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