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Atlas › Integer Profiles › Node 34,877,590

34,877,590

2 × 5 × 11 × 313 × 1013
Deficient Even Composite

34,877,590 factors as 2 × 5 × 11 × 313 × 1013. Its 32 positive divisors give a proper-divisor sum of 33,895,946, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 313 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,773,536
Proper Divisor Sum 33,895,946
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #34877581 ← → #34877639

Radix Representation

Decimal 34877590
Binary 10000101000011000010010110 (26 bits)
Octal 0o205030226
Hexadecimal 0x2143096

Divisor Catalog (32)

1 2 5 10 11 22 55 110 313 626 1,013 1,565 2,026 3,130 3,443 5,065 6,886 10,130 11,143 17,215 22,286 34,430 55,715 111,430 317,069 634,138 1,585,345 3,170,690 3,487,759 6,975,518 17,438,795 34,877,590

Collatz Trajectory (108 steps to reach 1)

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

34,877,590 17,438,795 52,316,386 26,158,193 78,474,580 39,237,290 19,618,645 58,855,936 29,427,968 14,713,984 7,356,992 3,678,496 1,839,248 919,624 459,812 229,906 114,953 344,860 172,430 86,215 258,646 129,323 387,970 193,985 581,956 290,978 145,489 436,468 218,234 109,117 327,352 163,676 81,838 40,919 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872

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