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Atlas › Integer Profiles › Node 4,170,700

4,170,700

22 × 52 × 179 × 233
Abundant Even Composite

4,170,700 factors as 2^2 × 5^2 × 179 × 233. Its 36 positive divisors give a proper-divisor sum of 4,969,340, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 179 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,140,040
Proper Divisor Sum 4,969,340
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4170679 ← → #4170703

Radix Representation

Decimal 4170700
Binary 1111111010001111001100 (22 bits)
Octal 0o17721714
Hexadecimal 0x3FA3CC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 179 233 358 466 716 895 932 1,165 1,790 2,330 3,580 4,475 4,660 5,825 8,950 11,650 17,900 23,300 41,707 83,414 166,828 208,535 417,070 834,140 1,042,675 2,085,350 4,170,700

Collatz Trajectory (229 steps to reach 1)

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

4,170,700 2,085,350 1,042,675 3,128,026 1,564,013 4,692,040 2,346,020 1,173,010 586,505 1,759,516 879,758 439,879 1,319,638 659,819 1,979,458 989,729 2,969,188 1,484,594 742,297 2,226,892 1,113,446 556,723 1,670,170 835,085 2,505,256 1,252,628 626,314 313,157 939,472 469,736 234,868 117,434 58,717 176,152 88,076 44,038 22,019 66,058 33,029 99,088 49,544 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414

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