10,516,996

2² × 7 × 375607

10,516,996 factors as 2^2 × 7 × 375607. Its 12 positive divisors give a proper-divisor sum of 10,517,052, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 375607

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,034,048

Proper Divisor Sum 10,517,052

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #10516993 ← → #10517011

Radix Representation

Decimal	10516996
Binary	101000000111101000000100 (24 bits)
Octal	0o50075004
Hexadecimal	0xA07A04

Divisor Catalog (12)

1 2 4 7 14 28 375,607 751,214 1,502,428 2,629,249 5,258,498 10,516,996

Collatz Trajectory (176 steps to reach 1)

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

10,516,996 5,258,498 2,629,249 7,887,748 3,943,874 1,971,937 5,915,812 2,957,906 1,478,953 4,436,860 2,218,430 1,109,215 3,327,646 1,663,823 4,991,470 2,495,735 7,487,206 3,743,603 11,230,810 5,615,405 16,846,216 8,423,108 4,211,554 2,105,777 6,317,332 3,158,666 1,579,333 4,738,000 2,369,000 1,184,500 592,250 296,125 888,376 444,188 222,094 111,047 333,142 166,571 499,714 249,857 749,572 374,786 187,393 562,180 281,090 140,545 421,636 210,818 105,409 316,228 158,114 79,057 237,172 118,586 59,293 177,880 88,940 44,470 22,235 66,706

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