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Atlas › Integer Profiles › Node 3,904,752

3,904,752

24 × 3 × 81349
Abundant Even Composite

3,904,752 factors as 2^4 × 3 × 81349. Its 20 positive divisors give a proper-divisor sum of 6,182,648, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 81349
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,087,400
Proper Divisor Sum 6,182,648
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3904741 ← → #3904753

Radix Representation

Decimal 3904752
Binary 1110111001010011110000 (22 bits)
Octal 0o16712360
Hexadecimal 0x3B94F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 81,349 162,698 244,047 325,396 488,094 650,792 976,188 1,301,584 1,952,376 3,904,752

Collatz Trajectory (123 steps to reach 1)

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

3,904,752 1,952,376 976,188 488,094 244,047 732,142 366,071 1,098,214 549,107 1,647,322 823,661 2,470,984 1,235,492 617,746 308,873 926,620 463,310 231,655 694,966 347,483 1,042,450 521,225 1,563,676 781,838 390,919 1,172,758 586,379 1,759,138 879,569 2,638,708 1,319,354 659,677 1,979,032 989,516 494,758 247,379 742,138 371,069 1,113,208 556,604 278,302 139,151 417,454 208,727 626,182 313,091 939,274 469,637 1,408,912 704,456 352,228 176,114 88,057 264,172 132,086 66,043 198,130 99,065 297,196 148,598

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