776,312

2³ × 97039

Starting at 776,312, the Collatz iteration reaches 1 after 149 steps. The first transition is 388156; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 97039

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,455,600

Proper Divisor Sum 679,288

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #776287 ← → #776317

Radix Representation

Decimal	776312
Binary	10111101100001111000 (20 bits)
Octal	0o2754170
Hexadecimal	0xBD878

Divisor Catalog (8)

1 2 4 8 97,039 194,078 388,156 776,312

Collatz Trajectory (149 steps to reach 1)

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

776,312 388,156 194,078 97,039 291,118 145,559 436,678 218,339 655,018 327,509 982,528 491,264 245,632 122,816 61,408 30,704 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 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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