77,446

2 × 38723

77,446 has digital root 1. The neighboring primes are 77431 and 77447; its proper-divisor sum differs from the starting integer by -38,720.

Prime Factor Structure

Factorization String 2 × 38723

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 116,172

Proper Divisor Sum 38,726

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #77431 ← → #77447

Radix Representation

Decimal	77446
Binary	10010111010000110 (17 bits)
Octal	0o227206
Hexadecimal	0x12E86

Divisor Catalog (4)

1 2 38,723 77,446

Collatz Trajectory (76 steps to reach 1)

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

77,446 38,723 116,170 58,085 174,256 87,128 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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