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Atlas › Integer Profiles › Node 35,911,028

35,911,028

22 × 127 × 223 × 317
Deficient Even Composite

35,911,028 factors as 2^2 × 127 × 223 × 317. Its 24 positive divisors give a proper-divisor sum of 27,912,844, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 127 × 223 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,823,872
Proper Divisor Sum 27,912,844
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #35911013 ← → #35911033

Radix Representation

Decimal 35911028
Binary 10001000111111010101110100 (26 bits)
Octal 0o210772564
Hexadecimal 0x223F574

Divisor Catalog (24)

1 2 4 127 223 254 317 446 508 634 892 1,268 28,321 40,259 56,642 70,691 80,518 113,284 141,382 161,036 282,764 8,977,757 17,955,514 35,911,028

Collatz Trajectory (139 steps to reach 1)

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

35,911,028 17,955,514 8,977,757 26,933,272 13,466,636 6,733,318 3,366,659 10,099,978 5,049,989 15,149,968 7,574,984 3,787,492 1,893,746 946,873 2,840,620 1,420,310 710,155 2,130,466 1,065,233 3,195,700 1,597,850 798,925 2,396,776 1,198,388 599,194 299,597 898,792 449,396 224,698 112,349 337,048 168,524 84,262 42,131 126,394 63,197 189,592 94,796 47,398 23,699 71,098 35,549 106,648 53,324 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328

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