1,378,784

2⁵ × 11 × 3917

1,378,784 factors as 2^5 × 11 × 3917. Its 24 positive divisors give a proper-divisor sum of 1,583,224, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 3917

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,962,008

Proper Divisor Sum 1,583,224

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1378777 ← → #1378799

Radix Representation

Decimal	1378784
Binary	101010000100111100000 (21 bits)
Octal	0o5204740
Hexadecimal	0x1509E0

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

1,378,784 689,392 344,696 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132 109,066 54,533 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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