446,748

2² × 3 × 59 × 631

446,748 factors as 2^2 × 3 × 59 × 631. Its 24 positive divisors give a proper-divisor sum of 615,012, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,061,760

Proper Divisor Sum 615,012

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #446731 ← → #446753

Radix Representation

Decimal	446748
Binary	1101101000100011100 (19 bits)
Octal	0o1550434
Hexadecimal	0x6D11C

Divisor Catalog (24)

1 2 3 4 6 12 59 118 177 236 354 631 708 1,262 1,893 2,524 3,786 7,572 37,229 74,458 111,687 148,916 223,374 446,748

Collatz Trajectory (187 steps to reach 1)

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

446,748 223,374 111,687 335,062 167,531 502,594 251,297 753,892 376,946 188,473 565,420 282,710 141,355 424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726 22,363 67,090 33,545 100,636 50,318 25,159 75,478 37,739 113,218 56,609 169,828 84,914 42,457 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #446,747 Browse Full Index Next Integer #446,749 →