470,419

23 × 113 × 181

Starting at 470,419, the Collatz iteration reaches 1 after 200 steps. The first transition is 1411258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 113 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 497,952

Proper Divisor Sum 27,533

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #470417 ← → #470429

Radix Representation

Decimal	470419
Binary	1110010110110010011 (19 bits)
Octal	0o1626623
Hexadecimal	0x72D93

Divisor Catalog (8)

1 23 113 181 2,599 4,163 20,453 470,419

Collatz Trajectory (200 steps to reach 1)

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

470,419 1,411,258 705,629 2,116,888 1,058,444 529,222 264,611 793,834 396,917 1,190,752 595,376 297,688 148,844 74,422 37,211 111,634 55,817 167,452 83,726 41,863 125,590 62,795 188,386 94,193 282,580 141,290 70,645 211,936 105,968 52,984 26,492 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906

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