776,149

11 × 37 × 1907

776,149 factors as 11 × 37 × 1907. Its 8 positive divisors give a proper-divisor sum of 93,899, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 11 × 37 × 1907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 870,048

Proper Divisor Sum 93,899

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #776143 ← → #776159

Radix Representation

Decimal	776149
Binary	10111101011111010101 (20 bits)
Octal	0o2753725
Hexadecimal	0xBD7D5

Divisor Catalog (8)

1 11 37 407 1,907 20,977 70,559 776,149

Collatz Trajectory (149 steps to reach 1)

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

776,149 2,328,448 1,164,224 582,112 291,056 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137

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