4,835,584

2⁸ × 13 × 1453

Starting at 4,835,584, the Collatz iteration reaches 1 after 69 steps. The first transition is 2417792; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 13 × 1453

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,401,916

Proper Divisor Sum 5,566,332

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4835573 ← → #4835617

Radix Representation

Decimal	4835584
Binary	10010011100100100000000 (23 bits)
Octal	0o22344400
Hexadecimal	0x49C900

Divisor Catalog (36)

1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1,453 1,664 2,906 3,328 5,812 11,624 18,889 23,248 37,778 46,496 75,556 92,992 151,112 185,984 302,224 371,968 604,448 1,208,896 2,417,792 4,835,584

Collatz Trajectory (69 steps to reach 1)

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

4,835,584 2,417,792 1,208,896 604,448 302,224 151,112 75,556 37,778 18,889 56,668 28,334 14,167 42,502 21,251 63,754 31,877 95,632 47,816 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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