13,777,576

2³ × 439 × 3923

13,777,576 factors as 2^3 × 439 × 3923. Its 16 positive divisors give a proper-divisor sum of 12,120,824, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^3 × 439 × 3923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,898,400

Proper Divisor Sum 12,120,824

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #13777567 ← → #13777597

Radix Representation

Decimal	13777576
Binary	110100100011101010101000 (24 bits)
Octal	0o64435250
Hexadecimal	0xD23AA8

Divisor Catalog (16)

1 2 4 8 439 878 1,756 3,512 3,923 7,846 15,692 31,384 1,722,197 3,444,394 6,888,788 13,777,576

Collatz Trajectory (60 steps to reach 1)

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

13,777,576 6,888,788 3,444,394 1,722,197 5,166,592 2,583,296 1,291,648 645,824 322,912 161,456 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2

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