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Atlas › Integer Profiles › Node 3,964,635

3,964,635

32 × 5 × 19 × 4637
Deficient Odd Composite

3,964,635 factors as 3^2 × 5 × 19 × 4637. Its 24 positive divisors give a proper-divisor sum of 3,270,645, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 4637
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,235,280
Proper Divisor Sum 3,270,645
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3964633 ← → #3964651

Radix Representation

Decimal 3964635
Binary 1111000111111011011011 (22 bits)
Octal 0o17077333
Hexadecimal 0x3C7EDB

Divisor Catalog (24)

1 3 5 9 15 19 45 57 95 171 285 855 4,637 13,911 23,185 41,733 69,555 88,103 208,665 264,309 440,515 792,927 1,321,545 3,964,635

Collatz Trajectory (172 steps to reach 1)

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

3,964,635 11,893,906 5,946,953 17,840,860 8,920,430 4,460,215 13,380,646 6,690,323 20,070,970 10,035,485 30,106,456 15,053,228 7,526,614 3,763,307 11,289,922 5,644,961 16,934,884 8,467,442 4,233,721 12,701,164 6,350,582 3,175,291 9,525,874 4,762,937 14,288,812 7,144,406 3,572,203 10,716,610 5,358,305 16,074,916 8,037,458 4,018,729 12,056,188 6,028,094 3,014,047 9,042,142 4,521,071 13,563,214 6,781,607 20,344,822 10,172,411 30,517,234 15,258,617 45,775,852 22,887,926 11,443,963 34,331,890 17,165,945 51,497,836 25,748,918 12,874,459 38,623,378 19,311,689 57,935,068 28,967,534 14,483,767 43,451,302 21,725,651 65,176,954 32,588,477

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