4,215,341

13 × 71 × 4567

Starting at 4,215,341, the Collatz iteration reaches 1 after 335 steps. The first transition is 12646024; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 71 × 4567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,604,544

Proper Divisor Sum 389,203

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4215319 ← → #4215347

Radix Representation

Decimal	4215341
Binary	10000000101001000101101 (23 bits)
Octal	0o20051055
Hexadecimal	0x40522D

Divisor Catalog (8)

1 13 71 923 4,567 59,371 324,257 4,215,341

Collatz Trajectory (335 steps to reach 1)

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

4,215,341 12,646,024 6,323,012 3,161,506 1,580,753 4,742,260 2,371,130 1,185,565 3,556,696 1,778,348 889,174 444,587 1,333,762 666,881 2,000,644 1,000,322 500,161 1,500,484 750,242 375,121 1,125,364 562,682 281,341 844,024 422,012 211,006 105,503 316,510 158,255 474,766 237,383 712,150 356,075 1,068,226 534,113 1,602,340 801,170 400,585 1,201,756 600,878 300,439 901,318 450,659 1,351,978 675,989 2,027,968 1,013,984 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420

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