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Atlas › Integer Profiles › Node 8,778,700

8,778,700

22 × 52 × 7 × 12541
Abundant Even Composite

8,778,700 factors as 2^2 × 5^2 × 7 × 12541. Its 36 positive divisors give a proper-divisor sum of 12,994,212, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 12541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,772,912
Proper Divisor Sum 12,994,212
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8778667 ← → #8778701

Radix Representation

Decimal 8778700
Binary 100001011111001111001100 (24 bits)
Octal 0o41371714
Hexadecimal 0x85F3CC

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 12,541 25,082 50,164 62,705 87,787 125,410 175,574 250,820 313,525 351,148 438,935 627,050 877,870 1,254,100 1,755,740 2,194,675 4,389,350 8,778,700

Collatz Trajectory (199 steps to reach 1)

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

8,778,700 4,389,350 2,194,675 6,584,026 3,292,013 9,876,040 4,938,020 2,469,010 1,234,505 3,703,516 1,851,758 925,879 2,777,638 1,388,819 4,166,458 2,083,229 6,249,688 3,124,844 1,562,422 781,211 2,343,634 1,171,817 3,515,452 1,757,726 878,863 2,636,590 1,318,295 3,954,886 1,977,443 5,932,330 2,966,165 8,898,496 4,449,248 2,224,624 1,112,312 556,156 278,078 139,039 417,118 208,559 625,678 312,839 938,518 469,259 1,407,778 703,889 2,111,668 1,055,834 527,917 1,583,752 791,876 395,938 197,969 593,908 296,954 148,477 445,432 222,716 111,358 55,679

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