6,452,496

2⁴ × 3² × 44809

Starting at 6,452,496, the Collatz iteration reaches 1 after 72 steps. The first transition is 3226248; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 44809

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 18,058,430

Proper Divisor Sum 11,605,934

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6452477 ← → #6452497

Radix Representation

Decimal	6452496
Binary	11000100111010100010000 (23 bits)
Octal	0o30472420
Hexadecimal	0x627510

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 44,809 89,618 134,427 179,236 268,854 358,472 403,281 537,708 716,944 806,562 1,075,416 1,613,124 2,150,832 3,226,248 6,452,496

Collatz Trajectory (72 steps to reach 1)

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

6,452,496 3,226,248 1,613,124 806,562 403,281 1,209,844 604,922 302,461 907,384 453,692 226,846 113,423 340,270 170,135 510,406 255,203 765,610 382,805 1,148,416 574,208 287,104 143,552 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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