7,530,464

2⁵ × 139 × 1693

Starting at 7,530,464, the Collatz iteration reaches 1 after 111 steps. The first transition is 3765232; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 139 × 1693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,941,080

Proper Divisor Sum 7,410,616

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7530463 ← → #7530491

Radix Representation

Decimal	7530464
Binary	11100101110011111100000 (23 bits)
Octal	0o34563740
Hexadecimal	0x72E7E0

Divisor Catalog (24)

1 2 4 8 16 32 139 278 556 1,112 1,693 2,224 3,386 4,448 6,772 13,544 27,088 54,176 235,327 470,654 941,308 1,882,616 3,765,232 7,530,464

Collatz Trajectory (111 steps to reach 1)

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

7,530,464 3,765,232 1,882,616 941,308 470,654 235,327 705,982 352,991 1,058,974 529,487 1,588,462 794,231 2,382,694 1,191,347 3,574,042 1,787,021 5,361,064 2,680,532 1,340,266 670,133 2,010,400 1,005,200 502,600 251,300 125,650 62,825 188,476 94,238 47,119 141,358 70,679 212,038 106,019 318,058 159,029 477,088 238,544 119,272 59,636 29,818 14,909 44,728 22,364 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964

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