5,216,928

2⁵ × 3 × 31 × 1753

Starting at 5,216,928, the Collatz iteration reaches 1 after 43 steps. The first transition is 2608464; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 31 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,144,256

Proper Divisor Sum 8,927,328

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5216921 ← → #5216933

Radix Representation

Decimal	5216928
Binary	10011111001101010100000 (23 bits)
Octal	0o23715240
Hexadecimal	0x4F9AA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1,488 1,753 2,976 3,506 5,259 7,012 10,518 14,024 21,036 28,048 42,072 54,343 56,096 84,144 108,686 163,029 168,288 217,372 326,058 434,744 652,116 869,488 1,304,232 1,738,976 2,608,464 5,216,928

Collatz Trajectory (43 steps to reach 1)

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

5,216,928 2,608,464 1,304,232 652,116 326,058 163,029 489,088 244,544 122,272 61,136 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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