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Atlas › Integer Profiles › Node 11,476,808

11,476,808

23 × 7 × 29 × 37 × 191
Abundant Even Composite

11,476,808 factors as 2^3 × 7 × 29 × 37 × 191. Its 64 positive divisors give a proper-divisor sum of 14,788,792, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 37 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,265,600
Proper Divisor Sum 14,788,792
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #11476807 ← → #11476831

Radix Representation

Decimal 11476808
Binary 101011110001111101001000 (24 bits)
Octal 0o53617510
Hexadecimal 0xAF1F48

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 29 37 56 58 74 116 148 191 203 232 259 296 382 406 518 764 812 1,036 1,073 1,337 1,528 1,624 2,072 2,146 2,674 4,292 5,348 5,539 7,067 7,511 8,584 10,696 11,078 14,134 15,022 22,156 28,268 30,044 38,773 44,312 49,469 56,536 60,088 77,546 98,938 155,092 197,876 204,943 310,184 395,752 409,886 819,772 1,434,601

Collatz Trajectory (122 steps to reach 1)

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

11,476,808 5,738,404 2,869,202 1,434,601 4,303,804 2,151,902 1,075,951 3,227,854 1,613,927 4,841,782 2,420,891 7,262,674 3,631,337 10,894,012 5,447,006 2,723,503 8,170,510 4,085,255 12,255,766 6,127,883 18,383,650 9,191,825 27,575,476 13,787,738 6,893,869 20,681,608 10,340,804 5,170,402 2,585,201 7,755,604 3,877,802 1,938,901 5,816,704 2,908,352 1,454,176 727,088 363,544 181,772 90,886 45,443 136,330 68,165 204,496 102,248 51,124 25,562 12,781 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136

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