4,685,484

2² × 3 × 557 × 701

Starting at 4,685,484, the Collatz iteration reaches 1 after 100 steps. The first transition is 2342742; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 557 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,968,048

Proper Divisor Sum 6,282,564

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4685479 ← → #4685497

Radix Representation

Decimal	4685484
Binary	10001110111111010101100 (23 bits)
Octal	0o21677254
Hexadecimal	0x477EAC

Divisor Catalog (24)

1 2 3 4 6 12 557 701 1,114 1,402 1,671 2,103 2,228 2,804 3,342 4,206 6,684 8,412 390,457 780,914 1,171,371 1,561,828 2,342,742 4,685,484

Collatz Trajectory (100 steps to reach 1)

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

4,685,484 2,342,742 1,171,371 3,514,114 1,757,057 5,271,172 2,635,586 1,317,793 3,953,380 1,976,690 988,345 2,965,036 1,482,518 741,259 2,223,778 1,111,889 3,335,668 1,667,834 833,917 2,501,752 1,250,876 625,438 312,719 938,158 469,079 1,407,238 703,619 2,110,858 1,055,429 3,166,288 1,583,144 791,572 395,786 197,893 593,680 296,840 148,420 74,210 37,105 111,316 55,658 27,829 83,488 41,744 20,872 10,436 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827

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