9,712,120

2³ × 5 × 11 × 22073

Starting at 9,712,120, the Collatz iteration reaches 1 after 269 steps. The first transition is 4856060; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 22073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,839,920

Proper Divisor Sum 14,127,800

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9712111 ← → #9712133

Radix Representation

Decimal	9712120
Binary	100101000011000111111000 (24 bits)
Octal	0o45030770
Hexadecimal	0x9431F8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 22,073 44,146 88,292 110,365 176,584 220,730 242,803 441,460 485,606 882,920 971,212 1,214,015 1,942,424 2,428,030 4,856,060 9,712,120

Collatz Trajectory (269 steps to reach 1)

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

9,712,120 4,856,060 2,428,030 1,214,015 3,642,046 1,821,023 5,463,070 2,731,535 8,194,606 4,097,303 12,291,910 6,145,955 18,437,866 9,218,933 27,656,800 13,828,400 6,914,200 3,457,100 1,728,550 864,275 2,592,826 1,296,413 3,889,240 1,944,620 972,310 486,155 1,458,466 729,233 2,187,700 1,093,850 546,925 1,640,776 820,388 410,194 205,097 615,292 307,646 153,823 461,470 230,735 692,206 346,103 1,038,310 519,155 1,557,466 778,733 2,336,200 1,168,100 584,050 292,025 876,076 438,038 219,019 657,058 328,529 985,588 492,794 246,397 739,192 369,596

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