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Atlas › Integer Profiles › Node 35,092,876

35,092,876

22 × 7 × 13 × 229 × 421
Abundant Even Composite

35,092,876 factors as 2^2 × 7 × 13 × 229 × 421. Its 48 positive divisors give a proper-divisor sum of 41,002,164, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 229 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,095,040
Proper Divisor Sum 41,002,164
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #35092861 ← → #35092891

Radix Representation

Decimal 35092876
Binary 10000101110111100110001100 (26 bits)
Octal 0o205674614
Hexadecimal 0x217798C

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 91 182 229 364 421 458 842 916 1,603 1,684 2,947 2,977 3,206 5,473 5,894 5,954 6,412 10,946 11,788 11,908 20,839 21,892 38,311 41,678 76,622 83,356 96,409 153,244 192,818 385,636 674,863 1,253,317 1,349,726 2,506,634 2,699,452 5,013,268 8,773,219 17,546,438 35,092,876

Collatz Trajectory (214 steps to reach 1)

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

35,092,876 17,546,438 8,773,219 26,319,658 13,159,829 39,479,488 19,739,744 9,869,872 4,934,936 2,467,468 1,233,734 616,867 1,850,602 925,301 2,775,904 1,387,952 693,976 346,988 173,494 86,747 260,242 130,121 390,364 195,182 97,591 292,774 146,387 439,162 219,581 658,744 329,372 164,686 82,343 247,030 123,515 370,546 185,273 555,820 277,910 138,955 416,866 208,433 625,300 312,650 156,325 468,976 234,488 117,244 58,622 29,311 87,934 43,967 131,902 65,951 197,854 98,927 296,782 148,391 445,174 222,587

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