4,461,548

2² × 7² × 13 × 17 × 103

Starting at 4,461,548, the Collatz iteration reaches 1 after 92 steps. The first transition is 2230774; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 17 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 10,456,992

Proper Divisor Sum 5,995,444

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4461547 ← → #4461553

Radix Representation

Decimal	4461548
Binary	10001000001001111101100 (23 bits)
Octal	0o21011754
Hexadecimal	0x4413EC

Divisor Catalog (60 of 72)

1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 103 119 182 196 206 221 238 364 412 442 476 637 721 833 884 1,274 1,339 1,442 1,547 1,666 1,751 2,548 2,678 2,884 3,094 3,332 3,502 5,047 5,356 6,188 7,004 9,373 10,094 10,829 12,257 18,746 20,188 21,658 22,763 24,514 37,492 43,316 45,526 49,028 65,611

Collatz Trajectory (92 steps to reach 1)

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

4,461,548 2,230,774 1,115,387 3,346,162 1,673,081 5,019,244 2,509,622 1,254,811 3,764,434 1,882,217 5,646,652 2,823,326 1,411,663 4,234,990 2,117,495 6,352,486 3,176,243 9,528,730 4,764,365 14,293,096 7,146,548 3,573,274 1,786,637 5,359,912 2,679,956 1,339,978 669,989 2,009,968 1,004,984 502,492 251,246 125,623 376,870 188,435 565,306 282,653 847,960 423,980 211,990 105,995 317,986 158,993 476,980 238,490 119,245 357,736 178,868 89,434 44,717 134,152 67,076 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300

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