447,774

2 × 3 × 37 × 2017

447,774 factors as 2 × 3 × 37 × 2017. Its 16 positive divisors give a proper-divisor sum of 472,434, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 2017

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 920,208

Proper Divisor Sum 472,434

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #447757 ← → #447779

Radix Representation

Decimal	447774
Binary	1101101010100011110 (19 bits)
Octal	0o1552436
Hexadecimal	0x6D51E

Divisor Catalog (16)

1 2 3 6 37 74 111 222 2,017 4,034 6,051 12,102 74,629 149,258 223,887 447,774

Collatz Trajectory (63 steps to reach 1)

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

447,774 223,887 671,662 335,831 1,007,494 503,747 1,511,242 755,621 2,266,864 1,133,432 566,716 283,358 141,679 425,038 212,519 637,558 318,779 956,338 478,169 1,434,508 717,254 358,627 1,075,882 537,941 1,613,824 806,912 403,456 201,728 100,864 50,432 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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