λ
Sequence Observatory

4,493,472

25 × 3 × 46807
Abundant Even Composite

Starting at 4,493,472, the Collatz iteration reaches 1 after 149 steps. The first transition is 2246736; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 46807
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,795,616
Proper Divisor Sum 7,302,144
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4493459 ← → #4493473

Radix Representation

Decimal 4493472
Binary 10001001001000010100000 (23 bits)
Octal 0o21110240
Hexadecimal 0x4490A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 46,807 93,614 140,421 187,228 280,842 374,456 561,684 748,912 1,123,368 1,497,824 2,246,736 4,493,472

Collatz Trajectory (149 steps to reach 1)

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

4,493,472 2,246,736 1,123,368 561,684 280,842 140,421 421,264 210,632 105,316 52,658 26,329 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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