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Atlas › Integer Profiles › Node 10,696,008

10,696,008

23 × 3 × 71 × 6277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 6277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,120,960
Proper Divisor Sum 16,424,952
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10696003 ← → #10696073

Radix Representation

Decimal 10696008
Binary 101000110011010101001000 (24 bits)
Octal 0o50632510
Hexadecimal 0xA33548

Divisor Catalog (32)

1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1,704 6,277 12,554 18,831 25,108 37,662 50,216 75,324 150,648 445,667 891,334 1,337,001 1,782,668 2,674,002 3,565,336 5,348,004 10,696,008

Collatz Trajectory (233 steps to reach 1)

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

10,696,008 5,348,004 2,674,002 1,337,001 4,011,004 2,005,502 1,002,751 3,008,254 1,504,127 4,512,382 2,256,191 6,768,574 3,384,287 10,152,862 5,076,431 15,229,294 7,614,647 22,843,942 11,421,971 34,265,914 17,132,957 51,398,872 25,699,436 12,849,718 6,424,859 19,274,578 9,637,289 28,911,868 14,455,934 7,227,967 21,683,902 10,841,951 32,525,854 16,262,927 48,788,782 24,394,391 73,183,174 36,591,587 109,774,762 54,887,381 164,662,144 82,331,072 41,165,536 20,582,768 10,291,384 5,145,692 2,572,846 1,286,423 3,859,270 1,929,635 5,788,906 2,894,453 8,683,360 4,341,680 2,170,840 1,085,420 542,710 271,355 814,066 407,033

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