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Atlas › Integer Profiles › Node 11,071,700

11,071,700

22 × 52 × 53 × 2089
Abundant Even Composite

11,071,700 factors as 2^2 × 5^2 × 53 × 2089. Its 36 positive divisors give a proper-divisor sum of 13,418,920, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 53 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,490,620
Proper Divisor Sum 13,418,920
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #11071693 ← → #11071703

Radix Representation

Decimal 11071700
Binary 101010001111000011010100 (24 bits)
Octal 0o52170324
Hexadecimal 0xA8F0D4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 53 100 106 212 265 530 1,060 1,325 2,089 2,650 4,178 5,300 8,356 10,445 20,890 41,780 52,225 104,450 110,717 208,900 221,434 442,868 553,585 1,107,170 2,214,340 2,767,925 5,535,850 11,071,700

Collatz Trajectory (78 steps to reach 1)

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

11,071,700 5,535,850 2,767,925 8,303,776 4,151,888 2,075,944 1,037,972 518,986 259,493 778,480 389,240 194,620 97,310 48,655 145,966 72,983 218,950 109,475 328,426 164,213 492,640 246,320 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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