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Atlas › Integer Profiles › Node 10,692,468

10,692,468

22 × 32 × 229 × 1297
Abundant Even Composite

10,692,468 factors as 2^2 × 3^2 × 229 × 1297. Its 36 positive divisors give a proper-divisor sum of 16,474,672, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 229 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,167,140
Proper Divisor Sum 16,474,672
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10692433 ← → #10692499

Radix Representation

Decimal 10692468
Binary 101000110010011101110100 (24 bits)
Octal 0o50623564
Hexadecimal 0xA32774

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 229 458 687 916 1,297 1,374 2,061 2,594 2,748 3,891 4,122 5,188 7,782 8,244 11,673 15,564 23,346 46,692 297,013 594,026 891,039 1,188,052 1,782,078 2,673,117 3,564,156 5,346,234 10,692,468

Collatz Trajectory (189 steps to reach 1)

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

10,692,468 5,346,234 2,673,117 8,019,352 4,009,676 2,004,838 1,002,419 3,007,258 1,503,629 4,510,888 2,255,444 1,127,722 563,861 1,691,584 845,792 422,896 211,448 105,724 52,862 26,431 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 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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