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Atlas › Integer Profiles › Node 11,782,850

11,782,850

2 × 52 × 19 × 79 × 157
Deficient Even Composite

11,782,850 factors as 2 × 5^2 × 19 × 79 × 157. Its 48 positive divisors give a proper-divisor sum of 11,727,550, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 79 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,510,400
Proper Divisor Sum 11,727,550
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #11782847 ← → #11782861

Radix Representation

Decimal 11782850
Binary 101100111100101011000010 (24 bits)
Octal 0o54745302
Hexadecimal 0xB3CAC2

Divisor Catalog (48)

1 2 5 10 19 25 38 50 79 95 157 158 190 314 395 475 785 790 950 1,501 1,570 1,975 2,983 3,002 3,925 3,950 5,966 7,505 7,850 12,403 14,915 15,010 24,806 29,830 37,525 62,015 74,575 75,050 124,030 149,150 235,657 310,075 471,314 620,150 1,178,285 2,356,570 5,891,425 11,782,850

Collatz Trajectory (91 steps to reach 1)

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

11,782,850 5,891,425 17,674,276 8,837,138 4,418,569 13,255,708 6,627,854 3,313,927 9,941,782 4,970,891 14,912,674 7,456,337 22,369,012 11,184,506 5,592,253 16,776,760 8,388,380 4,194,190 2,097,095 6,291,286 3,145,643 9,436,930 4,718,465 14,155,396 7,077,698 3,538,849 10,616,548 5,308,274 2,654,137 7,962,412 3,981,206 1,990,603 5,971,810 2,985,905 8,957,716 4,478,858 2,239,429 6,718,288 3,359,144 1,679,572 839,786 419,893 1,259,680 629,840 314,920 157,460 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346

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