9,557,775

3² × 5² × 107 × 397

Starting at 9,557,775, the Collatz iteration reaches 1 after 145 steps. The first transition is 28673326; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 107 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,322,552

Proper Divisor Sum 7,764,777

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9557767 ← → #9557777

Radix Representation

Decimal	9557775
Binary	100100011101011100001111 (24 bits)
Octal	0o44353417
Hexadecimal	0x91D70F

Divisor Catalog (36)

1 3 5 9 15 25 45 75 107 225 321 397 535 963 1,191 1,605 1,985 2,675 3,573 4,815 5,955 8,025 9,925 17,865 24,075 29,775 42,479 89,325 127,437 212,395 382,311 637,185 1,061,975 1,911,555 3,185,925 9,557,775

Collatz Trajectory (145 steps to reach 1)

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

9,557,775 28,673,326 14,336,663 43,009,990 21,504,995 64,514,986 32,257,493 96,772,480 48,386,240 24,193,120 12,096,560 6,048,280 3,024,140 1,512,070 756,035 2,268,106 1,134,053 3,402,160 1,701,080 850,540 425,270 212,635 637,906 318,953 956,860 478,430 239,215 717,646 358,823 1,076,470 538,235 1,614,706 807,353 2,422,060 1,211,030 605,515 1,816,546 908,273 2,724,820 1,362,410 681,205 2,043,616 1,021,808 510,904 255,452 127,726 63,863 191,590 95,795 287,386 143,693 431,080 215,540 107,770 53,885 161,656 80,828 40,414 20,207 60,622

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