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Atlas › Integer Profiles › Node 4,626,700

4,626,700

22 × 52 × 13 × 3559
Abundant Even Composite

4,626,700 factors as 2^2 × 5^2 × 13 × 3559. Its 36 positive divisors give a proper-divisor sum of 6,188,580, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 3559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,815,280
Proper Divisor Sum 6,188,580
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4626691 ← → #4626707

Radix Representation

Decimal 4626700
Binary 10001101001100100001100 (23 bits)
Octal 0o21514414
Hexadecimal 0x46990C

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,300 3,559 7,118 14,236 17,795 35,590 46,267 71,180 88,975 92,534 177,950 185,068 231,335 355,900 462,670 925,340 1,156,675 2,313,350 4,626,700

Collatz Trajectory (105 steps to reach 1)

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

4,626,700 2,313,350 1,156,675 3,470,026 1,735,013 5,205,040 2,602,520 1,301,260 650,630 325,315 975,946 487,973 1,463,920 731,960 365,980 182,990 91,495 274,486 137,243 411,730 205,865 617,596 308,798 154,399 463,198 231,599 694,798 347,399 1,042,198 521,099 1,563,298 781,649 2,344,948 1,172,474 586,237 1,758,712 879,356 439,678 219,839 659,518 329,759 989,278 494,639 1,483,918 741,959 2,225,878 1,112,939 3,338,818 1,669,409 5,008,228 2,504,114 1,252,057 3,756,172 1,878,086 939,043 2,817,130 1,408,565 4,225,696 2,112,848 1,056,424

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