342,100

2² × 5² × 11 × 311

342,100 has digital root 1. The neighboring primes are 342077 and 342101; its proper-divisor sum differs from the starting integer by 128,248.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 812,448

Proper Divisor Sum 470,348

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #342077 ← → #342101

Radix Representation

Decimal	342100
Binary	1010011100001010100 (19 bits)
Octal	0o1234124
Hexadecimal	0x53854

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 311 550 622 1,100 1,244 1,555 3,110 3,421 6,220 6,842 7,775 13,684 15,550 17,105 31,100 34,210 68,420 85,525 171,050 342,100

Collatz Trajectory (166 steps to reach 1)

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

342,100 171,050 85,525 256,576 128,288 64,144 32,072 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031

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