5,046,880

2⁵ × 5 × 31543

Starting at 5,046,880, the Collatz iteration reaches 1 after 219 steps. The first transition is 2523440; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 31543

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,923,632

Proper Divisor Sum 6,876,752

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5046863 ← → #5046883

Radix Representation

Decimal	5046880
Binary	10011010000001001100000 (23 bits)
Octal	0o23201140
Hexadecimal	0x4D0260

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 31,543 63,086 126,172 157,715 252,344 315,430 504,688 630,860 1,009,376 1,261,720 2,523,440 5,046,880

Collatz Trajectory (219 steps to reach 1)

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

5,046,880 2,523,440 1,261,720 630,860 315,430 157,715 473,146 236,573 709,720 354,860 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416 149,708 74,854 37,427 112,282 56,141 168,424 84,212 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345

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