9,858,720

2⁵ × 3 × 5 × 19 × 23 × 47

Starting at 9,858,720, the Collatz iteration reaches 1 after 57 steps. The first transition is 4929360; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19 × 23 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 34,836,480

Proper Divisor Sum 24,977,760

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9858703 ← → #9858727

Radix Representation

Decimal	9858720
Binary	100101100110111010100000 (24 bits)
Octal	0o45467240
Hexadecimal	0x966EA0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 32 38 40 46 47 48 57 60 69 76 80 92 94 95 96 114 115 120 138 141 152 160 184 188 190 228 230 235 240 276 282 285 304 345 368 376 380 437 456 460 470 480 552 564

Collatz Trajectory (57 steps to reach 1)

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

9,858,720 4,929,360 2,464,680 1,232,340 616,170 308,085 924,256 462,128 231,064 115,532 57,766 28,883 86,650 43,325 129,976 64,988 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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