4,458,916

2² × 7 × 11 × 31 × 467

Starting at 4,458,916, the Collatz iteration reaches 1 after 211 steps. The first transition is 2229458; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 31 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,063,872

Proper Divisor Sum 5,604,956

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4458911 ← → #4458919

Radix Representation

Decimal	4458916
Binary	10001000000100110100100 (23 bits)
Octal	0o21004644
Hexadecimal	0x4409A4

Divisor Catalog (48)

1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 467 682 868 934 1,364 1,868 2,387 3,269 4,774 5,137 6,538 9,548 10,274 13,076 14,477 20,548 28,954 35,959 57,908 71,918 101,339 143,836 159,247 202,678 318,494 405,356 636,988 1,114,729 2,229,458 4,458,916

Collatz Trajectory (211 steps to reach 1)

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

4,458,916 2,229,458 1,114,729 3,344,188 1,672,094 836,047 2,508,142 1,254,071 3,762,214 1,881,107 5,643,322 2,821,661 8,464,984 4,232,492 2,116,246 1,058,123 3,174,370 1,587,185 4,761,556 2,380,778 1,190,389 3,571,168 1,785,584 892,792 446,396 223,198 111,599 334,798 167,399 502,198 251,099 753,298 376,649 1,129,948 564,974 282,487 847,462 423,731 1,271,194 635,597 1,906,792 953,396 476,698 238,349 715,048 357,524 178,762 89,381 268,144 134,072 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282

← Previous Integer #4,458,915 Browse Full Index Next Integer #4,458,917 →