473,756

2² × 17 × 6967

473,756 factors as 2^2 × 17 × 6967. Its 12 positive divisors give a proper-divisor sum of 404,212, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 6967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 877,968

Proper Divisor Sum 404,212

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #473743 ← → #473761

Radix Representation

Decimal	473756
Binary	1110011101010011100 (19 bits)
Octal	0o1635234
Hexadecimal	0x73A9C

Divisor Catalog (12)

1 2 4 17 34 68 6,967 13,934 27,868 118,439 236,878 473,756

Collatz Trajectory (200 steps to reach 1)

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

473,756 236,878 118,439 355,318 177,659 532,978 266,489 799,468 399,734 199,867 599,602 299,801 899,404 449,702 224,851 674,554 337,277 1,011,832 505,916 252,958 126,479 379,438 189,719 569,158 284,579 853,738 426,869 1,280,608 640,304 320,152 160,076 80,038 40,019 120,058 60,029 180,088 90,044 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #473,755 Browse Full Index Next Integer #473,757 →