46,728,642

2 × 3 × 367 × 21221

46,728,642 factors as 2 × 3 × 367 × 21221. Its 16 positive divisors give a proper-divisor sum of 46,987,710, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 367 × 21221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 93,716,352

Proper Divisor Sum 46,987,710

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #46728641 ← → #46728673

Radix Representation

Decimal	46728642
Binary	10110010010000010111000010 (26 bits)
Octal	0o262202702
Hexadecimal	0x2C905C2

Divisor Catalog (16)

1 2 3 6 367 734 1,101 2,202 21,221 42,442 63,663 127,326 7,788,107 15,576,214 23,364,321 46,728,642

Collatz Trajectory (155 steps to reach 1)

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

46,728,642 23,364,321 70,092,964 35,046,482 17,523,241 52,569,724 26,284,862 13,142,431 39,427,294 19,713,647 59,140,942 29,570,471 88,711,414 44,355,707 133,067,122 66,533,561 199,600,684 99,800,342 49,900,171 149,700,514 74,850,257 224,550,772 112,275,386 56,137,693 168,413,080 84,206,540 42,103,270 21,051,635 63,154,906 31,577,453 94,732,360 47,366,180 23,683,090 11,841,545 35,524,636 17,762,318 8,881,159 26,643,478 13,321,739 39,965,218 19,982,609 59,947,828 29,973,914 14,986,957 44,960,872 22,480,436 11,240,218 5,620,109 16,860,328 8,430,164 4,215,082 2,107,541 6,322,624 3,161,312 1,580,656 790,328 395,164 197,582 98,791 296,374

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