13,100,827

47 × 278741

13,100,827 factors as 47 × 278741. Its 4 positive divisors give a proper-divisor sum of 278,789, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 47 × 278741

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 13,379,616

Proper Divisor Sum 278,789

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13100821 ← → #13100887

Radix Representation

Decimal	13100827
Binary	110001111110011100011011 (24 bits)
Octal	0o61763433
Hexadecimal	0xC7E71B

Divisor Catalog (4)

1 47 278,741 13,100,827

Collatz Trajectory (316 steps to reach 1)

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

13,100,827 39,302,482 19,651,241 58,953,724 29,476,862 14,738,431 44,215,294 22,107,647 66,322,942 33,161,471 99,484,414 49,742,207 149,226,622 74,613,311 223,839,934 111,919,967 335,759,902 167,879,951 503,639,854 251,819,927 755,459,782 377,729,891 1,133,189,674 566,594,837 1,699,784,512 849,892,256 424,946,128 212,473,064 106,236,532 53,118,266 26,559,133 79,677,400 39,838,700 19,919,350 9,959,675 29,879,026 14,939,513 44,818,540 22,409,270 11,204,635 33,613,906 16,806,953 50,420,860 25,210,430 12,605,215 37,815,646 18,907,823 56,723,470 28,361,735 85,085,206 42,542,603 127,627,810 63,813,905 191,441,716 95,720,858 47,860,429 143,581,288 71,790,644 35,895,322 17,947,661

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