9,257,860

2² × 5 × 17 × 73 × 373

Starting at 9,257,860, the Collatz iteration reaches 1 after 212 steps. The first transition is 4628930; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 73 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,923,056

Proper Divisor Sum 11,665,196

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9257849 ← → #9257861

Radix Representation

Decimal	9257860
Binary	100011010100001110000100 (24 bits)
Octal	0o43241604
Hexadecimal	0x8D4384

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 373 730 746 1,241 1,460 1,492 1,865 2,482 3,730 4,964 6,205 6,341 7,460 12,410 12,682 24,820 25,364 27,229 31,705 54,458 63,410 108,916 126,820 136,145 272,290 462,893 544,580 925,786 1,851,572 2,314,465 4,628,930 9,257,860

Collatz Trajectory (212 steps to reach 1)

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

9,257,860 4,628,930 2,314,465 6,943,396 3,471,698 1,735,849 5,207,548 2,603,774 1,301,887 3,905,662 1,952,831 5,858,494 2,929,247 8,787,742 4,393,871 13,181,614 6,590,807 19,772,422 9,886,211 29,658,634 14,829,317 44,487,952 22,243,976 11,121,988 5,560,994 2,780,497 8,341,492 4,170,746 2,085,373 6,256,120 3,128,060 1,564,030 782,015 2,346,046 1,173,023 3,519,070 1,759,535 5,278,606 2,639,303 7,917,910 3,958,955 11,876,866 5,938,433 17,815,300 8,907,650 4,453,825 13,361,476 6,680,738 3,340,369 10,021,108 5,010,554 2,505,277 7,515,832 3,757,916 1,878,958 939,479 2,818,438 1,409,219 4,227,658 2,113,829

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