408,043

23 × 113 × 157

408,043 factors as 23 × 113 × 157. Its 8 positive divisors give a proper-divisor sum of 24,245, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 23 × 113 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 432,288

Proper Divisor Sum 24,245

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #408041 ← → #408049

Radix Representation

Decimal	408043
Binary	1100011100111101011 (19 bits)
Octal	0o1434753
Hexadecimal	0x639EB

Divisor Catalog (8)

1 23 113 157 2,599 3,611 17,741 408,043

Collatz Trajectory (174 steps to reach 1)

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

408,043 1,224,130 612,065 1,836,196 918,098 459,049 1,377,148 688,574 344,287 1,032,862 516,431 1,549,294 774,647 2,323,942 1,161,971 3,485,914 1,742,957 5,228,872 2,614,436 1,307,218 653,609 1,960,828 980,414 490,207 1,470,622 735,311 2,205,934 1,102,967 3,308,902 1,654,451 4,963,354 2,481,677 7,445,032 3,722,516 1,861,258 930,629 2,791,888 1,395,944 697,972 348,986 174,493 523,480 261,740 130,870 65,435 196,306 98,153 294,460 147,230 73,615 220,846 110,423 331,270 165,635 496,906 248,453 745,360 372,680 186,340 93,170

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