λ
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Atlas › Integer Profiles › Node 9,480,280

9,480,280

23 × 5 × 89 × 2663
Abundant Even Composite

Starting at 9,480,280, the Collatz iteration reaches 1 after 269 steps. The first transition is 4740140; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 89 × 2663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,578,400
Proper Divisor Sum 12,098,120
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9480277 ← → #9480281

Radix Representation

Decimal 9480280
Binary 100100001010100001011000 (24 bits)
Octal 0o44124130
Hexadecimal 0x90A858

Divisor Catalog (32)

1 2 4 5 8 10 20 40 89 178 356 445 712 890 1,780 2,663 3,560 5,326 10,652 13,315 21,304 26,630 53,260 106,520 237,007 474,014 948,028 1,185,035 1,896,056 2,370,070 4,740,140 9,480,280

Collatz Trajectory (269 steps to reach 1)

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

9,480,280 4,740,140 2,370,070 1,185,035 3,555,106 1,777,553 5,332,660 2,666,330 1,333,165 3,999,496 1,999,748 999,874 499,937 1,499,812 749,906 374,953 1,124,860 562,430 281,215 843,646 421,823 1,265,470 632,735 1,898,206 949,103 2,847,310 1,423,655 4,270,966 2,135,483 6,406,450 3,203,225 9,609,676 4,804,838 2,402,419 7,207,258 3,603,629 10,810,888 5,405,444 2,702,722 1,351,361 4,054,084 2,027,042 1,013,521 3,040,564 1,520,282 760,141 2,280,424 1,140,212 570,106 285,053 855,160 427,580 213,790 106,895 320,686 160,343 481,030 240,515 721,546 360,773

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