46,320,484

2² × 7² × 236329

46,320,484 factors as 2^2 × 7^2 × 236329. Its 18 positive divisors give a proper-divisor sum of 47,975,186, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 236329

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 94,295,670

Proper Divisor Sum 47,975,186

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #46320473 ← → #46320493

Radix Representation

Decimal	46320484
Binary	10110000101100101101100100 (26 bits)
Octal	0o260545544
Hexadecimal	0x2C2CB64

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 236,329 472,658 945,316 1,654,303 3,308,606 6,617,212 11,580,121 23,160,242 46,320,484

Collatz Trajectory (72 steps to reach 1)

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

46,320,484 23,160,242 11,580,121 34,740,364 17,370,182 8,685,091 26,055,274 13,027,637 39,082,912 19,541,456 9,770,728 4,885,364 2,442,682 1,221,341 3,664,024 1,832,012 916,006 458,003 1,374,010 687,005 2,061,016 1,030,508 515,254 257,627 772,882 386,441 1,159,324 579,662 289,831 869,494 434,747 1,304,242 652,121 1,956,364 978,182 489,091 1,467,274 733,637 2,200,912 1,100,456 550,228 275,114 137,557 412,672 206,336 103,168 51,584 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227

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