4,116,867

3 × 383 × 3583

Starting at 4,116,867, the Collatz iteration reaches 1 after 79 steps. The first transition is 12350602; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 383 × 3583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,505,024

Proper Divisor Sum 1,388,157

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4116857 ← → #4116887

Radix Representation

Decimal	4116867
Binary	1111101101000110000011 (22 bits)
Octal	0o17550603
Hexadecimal	0x3ED183

Divisor Catalog (8)

1 3 383 1,149 3,583 10,749 1,372,289 4,116,867

Collatz Trajectory (79 steps to reach 1)

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

4,116,867 12,350,602 6,175,301 18,525,904 9,262,952 4,631,476 2,315,738 1,157,869 3,473,608 1,736,804 868,402 434,201 1,302,604 651,302 325,651 976,954 488,477 1,465,432 732,716 366,358 183,179 549,538 274,769 824,308 412,154 206,077 618,232 309,116 154,558 77,279 231,838 115,919 347,758 173,879 521,638 260,819 782,458 391,229 1,173,688 586,844 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352

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