678,397

29 × 149 × 157

678,397 factors as 29 × 149 × 157. Its 8 positive divisors give a proper-divisor sum of 32,603, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 29 × 149 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 711,000

Proper Divisor Sum 32,603

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #678383 ← → #678401

Radix Representation

Decimal	678397
Binary	10100101100111111101 (20 bits)
Octal	0o2454775
Hexadecimal	0xA59FD

Divisor Catalog (8)

1 29 149 157 4,321 4,553 23,393 678,397

Collatz Trajectory (136 steps to reach 1)

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

678,397 2,035,192 1,017,596 508,798 254,399 763,198 381,599 1,144,798 572,399 1,717,198 858,599 2,575,798 1,287,899 3,863,698 1,931,849 5,795,548 2,897,774 1,448,887 4,346,662 2,173,331 6,519,994 3,259,997 9,779,992 4,889,996 2,444,998 1,222,499 3,667,498 1,833,749 5,501,248 2,750,624 1,375,312 687,656 343,828 171,914 85,957 257,872 128,936 64,468 32,234 16,117 48,352 24,176 12,088 6,044 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #678,396 Browse Full Index Next Integer #678,398 →