1,096,780

2² × 5 × 29 × 31 × 61

Starting at 1,096,780, the Collatz iteration reaches 1 after 90 steps. The first transition is 548390; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,499,840

Proper Divisor Sum 1,403,060

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1096763 ← → #1096787

Radix Representation

Decimal	1096780
Binary	100001011110001001100 (21 bits)
Octal	0o4136114
Hexadecimal	0x10BC4C

Divisor Catalog (48)

1 2 4 5 10 20 29 31 58 61 62 116 122 124 145 155 244 290 305 310 580 610 620 899 1,220 1,769 1,798 1,891 3,538 3,596 3,782 4,495 7,076 7,564 8,845 8,990 9,455 17,690 17,980 18,910 35,380 37,820 54,839 109,678 219,356 274,195 548,390 1,096,780

Collatz Trajectory (90 steps to reach 1)

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

1,096,780 548,390 274,195 822,586 411,293 1,233,880 616,940 308,470 154,235 462,706 231,353 694,060 347,030 173,515 520,546 260,273 780,820 390,410 195,205 585,616 292,808 146,404 73,202 36,601 109,804 54,902 27,451 82,354 41,177 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964

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