λ
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Atlas › Integer Profiles › Node 9,200,628

9,200,628

22 × 34 × 73 × 389
Abundant Even Composite

9,200,628 factors as 2^2 × 3^4 × 73 × 389. Its 60 positive divisors give a proper-divisor sum of 15,243,792, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 73 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 24,444,420
Proper Divisor Sum 15,243,792
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9200623 ← → #9200647

Radix Representation

Decimal 9200628
Binary 100011000110001111110100 (24 bits)
Octal 0o43061764
Hexadecimal 0x8C63F4

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 389 438 657 778 876 1,167 1,314 1,556 1,971 2,334 2,628 3,501 3,942 4,668 5,913 7,002 7,884 10,503 11,826 14,004 21,006 23,652 28,397 31,509 42,012 56,794 63,018 85,191 113,588 126,036 170,382 255,573 340,764 511,146 766,719 1,022,292 1,533,438 2,300,157 3,066,876 4,600,314 9,200,628

Collatz Trajectory (132 steps to reach 1)

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

9,200,628 4,600,314 2,300,157 6,900,472 3,450,236 1,725,118 862,559 2,587,678 1,293,839 3,881,518 1,940,759 5,822,278 2,911,139 8,733,418 4,366,709 13,100,128 6,550,064 3,275,032 1,637,516 818,758 409,379 1,228,138 614,069 1,842,208 921,104 460,552 230,276 115,138 57,569 172,708 86,354 43,177 129,532 64,766 32,383 97,150 48,575 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570 700,285 2,100,856

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