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4,670,840

23 × 5 × 23 × 5077
Abundant Even Composite

4,670,840 factors as 2^3 × 5 × 23 × 5077. Its 32 positive divisors give a proper-divisor sum of 6,297,640, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 5077
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,968,480
Proper Divisor Sum 6,297,640
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4670819 ← → #4670849

Radix Representation

Decimal 4670840
Binary 10001110100010101111000 (23 bits)
Octal 0o21642570
Hexadecimal 0x474578

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 5,077 10,154 20,308 25,385 40,616 50,770 101,540 116,771 203,080 233,542 467,084 583,855 934,168 1,167,710 2,335,420 4,670,840

Collatz Trajectory (193 steps to reach 1)

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

4,670,840 2,335,420 1,167,710 583,855 1,751,566 875,783 2,627,350 1,313,675 3,941,026 1,970,513 5,911,540 2,955,770 1,477,885 4,433,656 2,216,828 1,108,414 554,207 1,662,622 831,311 2,493,934 1,246,967 3,740,902 1,870,451 5,611,354 2,805,677 8,417,032 4,208,516 2,104,258 1,052,129 3,156,388 1,578,194 789,097 2,367,292 1,183,646 591,823 1,775,470 887,735 2,663,206 1,331,603 3,994,810 1,997,405 5,992,216 2,996,108 1,498,054 749,027 2,247,082 1,123,541 3,370,624 1,685,312 842,656 421,328 210,664 105,332 52,666 26,333 79,000 39,500 19,750 9,875 29,626

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