4,561,583

13 × 350891

Starting at 4,561,583, the Collatz iteration reaches 1 after 79 steps. The first transition is 13684750; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 350891

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,912,488

Proper Divisor Sum 350,905

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4561553 ← → #4561589

Radix Representation

Decimal	4561583
Binary	10001011001101010101111 (23 bits)
Octal	0o21315257
Hexadecimal	0x459AAF

Divisor Catalog (4)

1 13 350,891 4,561,583

Collatz Trajectory (79 steps to reach 1)

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

4,561,583 13,684,750 6,842,375 20,527,126 10,263,563 30,790,690 15,395,345 46,186,036 23,093,018 11,546,509 34,639,528 17,319,764 8,659,882 4,329,941 12,989,824 6,494,912 3,247,456 1,623,728 811,864 405,932 202,966 101,483 304,450 152,225 456,676 228,338 114,169 342,508 171,254 85,627 256,882 128,441 385,324 192,662 96,331 288,994 144,497 433,492 216,746 108,373 325,120 162,560 81,280 40,640 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805

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