3,179,600

2⁴ × 5² × 7949

3,179,600 factors as 2^4 × 5^2 × 7949. Its 30 positive divisors give a proper-divisor sum of 4,460,350, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 7,639,950

Proper Divisor Sum 4,460,350

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3179587 ← → #3179611

Radix Representation

Decimal	3179600
Binary	1100001000010001010000 (22 bits)
Octal	0o14102120
Hexadecimal	0x308450

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7,949 15,898 31,796 39,745 63,592 79,490 127,184 158,980 198,725 317,960 397,450 635,920 794,900 1,589,800 3,179,600

Collatz Trajectory (164 steps to reach 1)

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

3,179,600 1,589,800 794,900 397,450 198,725 596,176 298,088 149,044 74,522 37,261 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

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