1,159,100

2² × 5² × 67 × 173

Starting at 1,159,100, the Collatz iteration reaches 1 after 98 steps. The first transition is 579550; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 67 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,567,544

Proper Divisor Sum 1,408,444

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1159091 ← → #1159127

Radix Representation

Decimal	1159100
Binary	100011010111110111100 (21 bits)
Octal	0o4327674
Hexadecimal	0x11AFBC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 67 100 134 173 268 335 346 670 692 865 1,340 1,675 1,730 3,350 3,460 4,325 6,700 8,650 11,591 17,300 23,182 46,364 57,955 115,910 231,820 289,775 579,550 1,159,100

Collatz Trajectory (98 steps to reach 1)

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

1,159,100 579,550 289,775 869,326 434,663 1,303,990 651,995 1,955,986 977,993 2,933,980 1,466,990 733,495 2,200,486 1,100,243 3,300,730 1,650,365 4,951,096 2,475,548 1,237,774 618,887 1,856,662 928,331 2,784,994 1,392,497 4,177,492 2,088,746 1,044,373 3,133,120 1,566,560 783,280 391,640 195,820 97,910 48,955 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226

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