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Atlas › Integer Profiles › Node 34,799,008

34,799,008

25 × 761 × 1429
Deficient Even Composite

34,799,008 factors as 2^5 × 761 × 1429. Its 24 positive divisors give a proper-divisor sum of 33,849,572, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^5 × 761 × 1429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 68,648,580
Proper Divisor Sum 33,849,572
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #34799003 ← → #34799021

Radix Representation

Decimal 34799008
Binary 10000100101111110110100000 (26 bits)
Octal 0o204576640
Hexadecimal 0x212FDA0

Divisor Catalog (24)

1 2 4 8 16 32 761 1,429 1,522 2,858 3,044 5,716 6,088 11,432 12,176 22,864 24,352 45,728 1,087,469 2,174,938 4,349,876 8,699,752 17,399,504 34,799,008

Collatz Trajectory (121 steps to reach 1)

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

34,799,008 17,399,504 8,699,752 4,349,876 2,174,938 1,087,469 3,262,408 1,631,204 815,602 407,801 1,223,404 611,702 305,851 917,554 458,777 1,376,332 688,166 344,083 1,032,250 516,125 1,548,376 774,188 387,094 193,547 580,642 290,321 870,964 435,482 217,741 653,224 326,612 163,306 81,653 244,960 122,480 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022

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