7,520,742

2 × 3³ × 139273

Starting at 7,520,742, the Collatz iteration reaches 1 after 186 steps. The first transition is 3760371; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 139273

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,712,880

Proper Divisor Sum 9,192,138

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7520729 ← → #7520759

Radix Representation

Decimal	7520742
Binary	11100101100000111100110 (23 bits)
Octal	0o34540746
Hexadecimal	0x72C1E6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 139,273 278,546 417,819 835,638 1,253,457 2,506,914 3,760,371 7,520,742

Collatz Trajectory (186 steps to reach 1)

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

7,520,742 3,760,371 11,281,114 5,640,557 16,921,672 8,460,836 4,230,418 2,115,209 6,345,628 3,172,814 1,586,407 4,759,222 2,379,611 7,138,834 3,569,417 10,708,252 5,354,126 2,677,063 8,031,190 4,015,595 12,046,786 6,023,393 18,070,180 9,035,090 4,517,545 13,552,636 6,776,318 3,388,159 10,164,478 5,082,239 15,246,718 7,623,359 22,870,078 11,435,039 34,305,118 17,152,559 51,457,678 25,728,839 77,186,518 38,593,259 115,779,778 57,889,889 173,669,668 86,834,834 43,417,417 130,252,252 65,126,126 32,563,063 97,689,190 48,844,595 146,533,786 73,266,893 219,800,680 109,900,340 54,950,170 27,475,085 82,425,256 41,212,628 20,606,314 10,303,157

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