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Atlas › Integer Profiles › Node 4,170,740

4,170,740

22 × 5 × 7 × 313
Abundant Even Composite

4,170,740 factors as 2^2 × 5 × 7 × 31^3. Its 48 positive divisors give a proper-divisor sum of 6,172,684, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 31^3
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,343,424
Proper Divisor Sum 6,172,684
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4170739 ← → #4170743

Radix Representation

Decimal 4170740
Binary 1111111010001111110100 (22 bits)
Octal 0o17721764
Hexadecimal 0x3FA3F4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 961 1,085 1,922 2,170 3,844 4,340 4,805 6,727 9,610 13,454 19,220 26,908 29,791 33,635 59,582 67,270 119,164 134,540 148,955 208,537 297,910 417,074 595,820 834,148 1,042,685 2,085,370 4,170,740

Collatz Trajectory (229 steps to reach 1)

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

4,170,740 2,085,370 1,042,685 3,128,056 1,564,028 782,014 391,007 1,173,022 586,511 1,759,534 879,767 2,639,302 1,319,651 3,958,954 1,979,477 5,938,432 2,969,216 1,484,608 742,304 371,152 185,576 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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