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Atlas › Integer Profiles › Node 10,692,408

10,692,408

23 × 3 × 37 × 12041
Abundant Even Composite

10,692,408 factors as 2^3 × 3 × 37 × 12041. Its 32 positive divisors give a proper-divisor sum of 16,763,352, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 12041
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,455,760
Proper Divisor Sum 16,763,352
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10692397 ← → #10692433

Radix Representation

Decimal 10692408
Binary 101000110010011100111000 (24 bits)
Octal 0o50623470
Hexadecimal 0xA32738

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 12,041 24,082 36,123 48,164 72,246 96,328 144,492 288,984 445,517 891,034 1,336,551 1,782,068 2,673,102 3,564,136 5,346,204 10,692,408

Collatz Trajectory (189 steps to reach 1)

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

10,692,408 5,346,204 2,673,102 1,336,551 4,009,654 2,004,827 6,014,482 3,007,241 9,021,724 4,510,862 2,255,431 6,766,294 3,383,147 10,149,442 5,074,721 15,224,164 7,612,082 3,806,041 11,418,124 5,709,062 2,854,531 8,563,594 4,281,797 12,845,392 6,422,696 3,211,348 1,605,674 802,837 2,408,512 1,204,256 602,128 301,064 150,532 75,266 37,633 112,900 56,450 28,225 84,676 42,338 21,169 63,508 31,754 15,877 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885

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