4,216,541

7 × 463 × 1301

Starting at 4,216,541, the Collatz iteration reaches 1 after 317 steps. The first transition is 12649624; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 463 × 1301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,833,024

Proper Divisor Sum 616,483

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4216523 ← → #4216573

Radix Representation

Decimal	4216541
Binary	10000000101011011011101 (23 bits)
Octal	0o20053335
Hexadecimal	0x4056DD

Divisor Catalog (8)

1 7 463 1,301 3,241 9,107 602,363 4,216,541

Collatz Trajectory (317 steps to reach 1)

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

4,216,541 12,649,624 6,324,812 3,162,406 1,581,203 4,743,610 2,371,805 7,115,416 3,557,708 1,778,854 889,427 2,668,282 1,334,141 4,002,424 2,001,212 1,000,606 500,303 1,500,910 750,455 2,251,366 1,125,683 3,377,050 1,688,525 5,065,576 2,532,788 1,266,394 633,197 1,899,592 949,796 474,898 237,449 712,348 356,174 178,087 534,262 267,131 801,394 400,697 1,202,092 601,046 300,523 901,570 450,785 1,352,356 676,178 338,089 1,014,268 507,134 253,567 760,702 380,351 1,141,054 570,527 1,711,582 855,791 2,567,374 1,283,687 3,851,062 1,925,531 5,776,594

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