46,723,390

2 × 5 × 7 × 667477

46,723,390 factors as 2 × 5 × 7 × 667477. Its 16 positive divisors give a proper-divisor sum of 49,393,442, so this integer is abundant. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 667477

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 96,116,832

Proper Divisor Sum 49,393,442

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #46723363 ← → #46723421

Radix Representation

Decimal	46723390
Binary	10110010001111000100111110 (26 bits)
Octal	0o262170476
Hexadecimal	0x2C8F13E

Divisor Catalog (16)

1 2 5 7 10 14 35 70 667,477 1,334,954 3,337,385 4,672,339 6,674,770 9,344,678 23,361,695 46,723,390

Collatz Trajectory (323 steps to reach 1)

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

46,723,390 23,361,695 70,085,086 35,042,543 105,127,630 52,563,815 157,691,446 78,845,723 236,537,170 118,268,585 354,805,756 177,402,878 88,701,439 266,104,318 133,052,159 399,156,478 199,578,239 598,734,718 299,367,359 898,102,078 449,051,039 1,347,153,118 673,576,559 2,020,729,678 1,010,364,839 3,031,094,518 1,515,547,259 4,546,641,778 2,273,320,889 6,819,962,668 3,409,981,334 1,704,990,667 5,114,972,002 2,557,486,001 7,672,458,004 3,836,229,002 1,918,114,501 5,754,343,504 2,877,171,752 1,438,585,876 719,292,938 359,646,469 1,078,939,408 539,469,704 269,734,852 134,867,426 67,433,713 202,301,140 101,150,570 50,575,285 151,725,856 75,862,928 37,931,464 18,965,732 9,482,866 4,741,433 14,224,300 7,112,150 3,556,075 10,668,226

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