λ
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Atlas › Integer Profiles › Node 7,149,620

7,149,620

22 × 5 × 59 × 73 × 83
Abundant Even Composite

Starting at 7,149,620, the Collatz iteration reaches 1 after 297 steps. The first transition is 3574810; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 73 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,664,320
Proper Divisor Sum 8,514,700
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7149617 ← → #7149641

Radix Representation

Decimal 7149620
Binary 11011010001100000110100 (23 bits)
Octal 0o33214064
Hexadecimal 0x6D1834

Divisor Catalog (48)

1 2 4 5 10 20 59 73 83 118 146 166 236 292 295 332 365 415 590 730 830 1,180 1,460 1,660 4,307 4,897 6,059 8,614 9,794 12,118 17,228 19,588 21,535 24,236 24,485 30,295 43,070 48,970 60,590 86,140 97,940 121,180 357,481 714,962 1,429,924 1,787,405 3,574,810 7,149,620

Collatz Trajectory (297 steps to reach 1)

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

7,149,620 3,574,810 1,787,405 5,362,216 2,681,108 1,340,554 670,277 2,010,832 1,005,416 502,708 251,354 125,677 377,032 188,516 94,258 47,129 141,388 70,694 35,347 106,042 53,021 159,064 79,532 39,766 19,883 59,650 29,825 89,476 44,738 22,369 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359

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