470,516

2² × 19 × 41 × 151

470,516 factors as 2^2 × 19 × 41 × 151. Its 24 positive divisors give a proper-divisor sum of 423,244, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 893,760

Proper Divisor Sum 423,244

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #470513 ← → #470521

Radix Representation

Decimal	470516
Binary	1110010110111110100 (19 bits)
Octal	0o1626764
Hexadecimal	0x72DF4

Divisor Catalog (24)

1 2 4 19 38 41 76 82 151 164 302 604 779 1,558 2,869 3,116 5,738 6,191 11,476 12,382 24,764 117,629 235,258 470,516

Collatz Trajectory (107 steps to reach 1)

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

470,516 235,258 117,629 352,888 176,444 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499

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