13,787,764

2² × 23 × 149867

13,787,764 factors as 2^2 × 23 × 149867. Its 12 positive divisors give a proper-divisor sum of 11,390,060, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 149867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 25,177,824

Proper Divisor Sum 11,390,060

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #13787759 ← → #13787797

Radix Representation

Decimal	13787764
Binary	110100100110001001110100 (24 bits)
Octal	0o64461164
Hexadecimal	0xD26274

Divisor Catalog (12)

1 2 4 23 46 92 149,867 299,734 599,468 3,446,941 6,893,882 13,787,764

Collatz Trajectory (161 steps to reach 1)

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

13,787,764 6,893,882 3,446,941 10,340,824 5,170,412 2,585,206 1,292,603 3,877,810 1,938,905 5,816,716 2,908,358 1,454,179 4,362,538 2,181,269 6,543,808 3,271,904 1,635,952 817,976 408,988 204,494 102,247 306,742 153,371 460,114 230,057 690,172 345,086 172,543 517,630 258,815 776,446 388,223 1,164,670 582,335 1,747,006 873,503 2,620,510 1,310,255 3,930,766 1,965,383 5,896,150 2,948,075 8,844,226 4,422,113 13,266,340 6,633,170 3,316,585 9,949,756 4,974,878 2,487,439 7,462,318 3,731,159 11,193,478 5,596,739 16,790,218 8,395,109 25,185,328 12,592,664 6,296,332 3,148,166

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