420,461

17 × 24733

420,461 factors as 17 × 24733. Its 4 positive divisors give a proper-divisor sum of 24,751, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 17 × 24733

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 445,212

Proper Divisor Sum 24,751

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #420457 ← → #420467

Radix Representation

Decimal	420461
Binary	1100110101001101101 (19 bits)
Octal	0o1465155
Hexadecimal	0x66A6D

Divisor Catalog (4)

1 17 24,733 420,461

Collatz Trajectory (205 steps to reach 1)

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

420,461 1,261,384 630,692 315,346 157,673 473,020 236,510 118,255 354,766 177,383 532,150 266,075 798,226 399,113 1,197,340 598,670 299,335 898,006 449,003 1,347,010 673,505 2,020,516 1,010,258 505,129 1,515,388 757,694 378,847 1,136,542 568,271 1,704,814 852,407 2,557,222 1,278,611 3,835,834 1,917,917 5,753,752 2,876,876 1,438,438 719,219 2,157,658 1,078,829 3,236,488 1,618,244 809,122 404,561 1,213,684 606,842 303,421 910,264 455,132 227,566 113,783 341,350 170,675 512,026 256,013 768,040 384,020 192,010 96,005

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