4,046,367

3 × 13² × 23 × 347

4,046,367 factors as 3 × 13^2 × 23 × 347. Its 24 positive divisors give a proper-divisor sum of 2,067,297, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 23 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,113,664

Proper Divisor Sum 2,067,297

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4046353 ← → #4046377

Radix Representation

Decimal	4046367
Binary	1111011011111000011111 (22 bits)
Octal	0o17337037
Hexadecimal	0x3DBE1F

Divisor Catalog (24)

Collatz Trajectory (247 steps to reach 1)

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

4,046,367 12,139,102 6,069,551 18,208,654 9,104,327 27,312,982 13,656,491 40,969,474 20,484,737 61,454,212 30,727,106 15,363,553 46,090,660 23,045,330 11,522,665 34,567,996 17,283,998 8,641,999 25,925,998 12,962,999 38,888,998 19,444,499 58,333,498 29,166,749 87,500,248 43,750,124 21,875,062 10,937,531 32,812,594 16,406,297 49,218,892 24,609,446 12,304,723 36,914,170 18,457,085 55,371,256 27,685,628 13,842,814 6,921,407 20,764,222 10,382,111 31,146,334 15,573,167 46,719,502 23,359,751 70,079,254 35,039,627 105,118,882 52,559,441 157,678,324 78,839,162 39,419,581 118,258,744 59,129,372 29,564,686 14,782,343 44,347,030 22,173,515 66,520,546 33,260,273

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