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Atlas › Integer Profiles › Node 35,522,008

35,522,008

23 × 61 × 83 × 877
Deficient Even Composite

35,522,008 factors as 2^3 × 61 × 83 × 877. Its 32 positive divisors give a proper-divisor sum of 33,067,352, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 83 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,589,360
Proper Divisor Sum 33,067,352
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #35521991 ← → #35522017

Radix Representation

Decimal 35522008
Binary 10000111100000010111011000 (26 bits)
Octal 0o207402730
Hexadecimal 0x21E05D8

Divisor Catalog (32)

1 2 4 8 61 83 122 166 244 332 488 664 877 1,754 3,508 5,063 7,016 10,126 20,252 40,504 53,497 72,791 106,994 145,582 213,988 291,164 427,976 582,328 4,440,251 8,880,502 17,761,004 35,522,008

Collatz Trajectory (121 steps to reach 1)

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

35,522,008 17,761,004 8,880,502 4,440,251 13,320,754 6,660,377 19,981,132 9,990,566 4,995,283 14,985,850 7,492,925 22,478,776 11,239,388 5,619,694 2,809,847 8,429,542 4,214,771 12,644,314 6,322,157 18,966,472 9,483,236 4,741,618 2,370,809 7,112,428 3,556,214 1,778,107 5,334,322 2,667,161 8,001,484 4,000,742 2,000,371 6,001,114 3,000,557 9,001,672 4,500,836 2,250,418 1,125,209 3,375,628 1,687,814 843,907 2,531,722 1,265,861 3,797,584 1,898,792 949,396 474,698 237,349 712,048 356,024 178,012 89,006 44,503 133,510 66,755 200,266 100,133 300,400 150,200 75,100 37,550

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