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Atlas › Integer Profiles › Node 8,949,752

8,949,752

23 × 72 × 172 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7^2 × 17^2 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,998,800
Proper Divisor Sum 12,049,048
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8949679 ← → #8949757

Radix Representation

Decimal 8949752
Binary 100010001000111111111000 (24 bits)
Octal 0o42107770
Hexadecimal 0x888FF8

Divisor Catalog (60 of 72)

1 2 4 7 8 14 17 28 34 49 56 68 79 98 119 136 158 196 238 289 316 392 476 553 578 632 833 952 1,106 1,156 1,343 1,666 2,023 2,212 2,312 2,686 3,332 3,871 4,046 4,424 5,372 6,664 7,742 8,092 9,401 10,744 14,161 15,484 16,184 18,802 22,831 28,322 30,968 37,604 45,662 56,644 65,807 75,208 91,324 113,288

Collatz Trajectory (163 steps to reach 1)

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

8,949,752 4,474,876 2,237,438 1,118,719 3,356,158 1,678,079 5,034,238 2,517,119 7,551,358 3,775,679 11,327,038 5,663,519 16,990,558 8,495,279 25,485,838 12,742,919 38,228,758 19,114,379 57,343,138 28,671,569 86,014,708 43,007,354 21,503,677 64,511,032 32,255,516 16,127,758 8,063,879 24,191,638 12,095,819 36,287,458 18,143,729 54,431,188 27,215,594 13,607,797 40,823,392 20,411,696 10,205,848 5,102,924 2,551,462 1,275,731 3,827,194 1,913,597 5,740,792 2,870,396 1,435,198 717,599 2,152,798 1,076,399 3,229,198 1,614,599 4,843,798 2,421,899 7,265,698 3,632,849 10,898,548 5,449,274 2,724,637 8,173,912 4,086,956 2,043,478

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