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Atlas › Integer Profiles › Node 4,170,680

4,170,680

23 × 5 × 127 × 821
Abundant Even Composite

4,170,680 factors as 2^3 × 5 × 127 × 821. Its 32 positive divisors give a proper-divisor sum of 5,298,760, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 127 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,469,440
Proper Divisor Sum 5,298,760
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4170679 ← → #4170703

Radix Representation

Decimal 4170680
Binary 1111111010001110111000 (22 bits)
Octal 0o17721670
Hexadecimal 0x3FA3B8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 127 254 508 635 821 1,016 1,270 1,642 2,540 3,284 4,105 5,080 6,568 8,210 16,420 32,840 104,267 208,534 417,068 521,335 834,136 1,042,670 2,085,340 4,170,680

Collatz Trajectory (229 steps to reach 1)

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

4,170,680 2,085,340 1,042,670 521,335 1,564,006 782,003 2,346,010 1,173,005 3,519,016 1,759,508 879,754 439,877 1,319,632 659,816 329,908 164,954 82,477 247,432 123,716 61,858 30,929 92,788 46,394 23,197 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414

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