46,026,448

2⁴ × 13 × 221281

46,026,448 factors as 2^4 × 13 × 221281. Its 20 positive divisors give a proper-divisor sum of 50,009,940, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 221281

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 96,036,388

Proper Divisor Sum 50,009,940

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #46026397 ← → #46026467

Radix Representation

Decimal	46026448
Binary	10101111100100111011010000 (26 bits)
Octal	0o257447320
Hexadecimal	0x2BE4ED0

Divisor Catalog (20)

Collatz Trajectory (124 steps to reach 1)

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

46,026,448 23,013,224 11,506,612 5,753,306 2,876,653 8,629,960 4,314,980 2,157,490 1,078,745 3,236,236 1,618,118 809,059 2,427,178 1,213,589 3,640,768 1,820,384 910,192 455,096 227,548 113,774 56,887 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584

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