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Atlas › Integer Profiles › Node 9,633,420

9,633,420

22 × 32 × 5 × 109 × 491
Abundant Even Composite

Starting at 9,633,420, the Collatz iteration reaches 1 after 93 steps. The first transition is 4816710; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 109 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,549,520
Proper Divisor Sum 19,916,100
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9633409 ← → #9633433

Radix Representation

Decimal 9633420
Binary 100100101111111010001100 (24 bits)
Octal 0o44577214
Hexadecimal 0x92FE8C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 491 545 654 981 982 1,090 1,308 1,473 1,635 1,962 1,964 2,180 2,455 2,946 3,270 3,924 4,419 4,905 4,910 5,892 6,540 7,365 8,838 9,810 9,820 14,730 17,676 19,620 22,095 29,460 44,190 53,519 88,380 107,038 160,557 214,076 267,595 321,114

Collatz Trajectory (93 steps to reach 1)

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

9,633,420 4,816,710 2,408,355 7,225,066 3,612,533 10,837,600 5,418,800 2,709,400 1,354,700 677,350 338,675 1,016,026 508,013 1,524,040 762,020 381,010 190,505 571,516 285,758 142,879 428,638 214,319 642,958 321,479 964,438 482,219 1,446,658 723,329 2,169,988 1,084,994 542,497 1,627,492 813,746 406,873 1,220,620 610,310 305,155 915,466 457,733 1,373,200 686,600 343,300 171,650 85,825 257,476 128,738 64,369 193,108 96,554 48,277 144,832 72,416 36,208 18,104 9,052 4,526 2,263 6,790 3,395 10,186

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