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Atlas › Integer Profiles › Node 4,628,890

4,628,890

2 × 5 × 7 × 89 × 743
Abundant Even Composite

4,628,890 factors as 2 × 5 × 7 × 89 × 743. Its 32 positive divisors give a proper-divisor sum of 5,013,350, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 89 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,642,240
Proper Divisor Sum 5,013,350
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4628867 ← → #4628891

Radix Representation

Decimal 4628890
Binary 10001101010000110011010 (23 bits)
Octal 0o21520632
Hexadecimal 0x46A19A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 89 178 445 623 743 890 1,246 1,486 3,115 3,715 5,201 6,230 7,430 10,402 26,005 52,010 66,127 132,254 330,635 462,889 661,270 925,778 2,314,445 4,628,890

Collatz Trajectory (131 steps to reach 1)

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

4,628,890 2,314,445 6,943,336 3,471,668 1,735,834 867,917 2,603,752 1,301,876 650,938 325,469 976,408 488,204 244,102 122,051 366,154 183,077 549,232 274,616 137,308 68,654 34,327 102,982 51,491 154,474 77,237 231,712 115,856 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374

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