7,542,368

2⁵ × 235699

Starting at 7,542,368, the Collatz iteration reaches 1 after 116 steps. The first transition is 3771184; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 235699

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,849,100

Proper Divisor Sum 7,306,732

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7542347 ← → #7542389

Radix Representation

Decimal	7542368
Binary	11100110001011001100000 (23 bits)
Octal	0o34613140
Hexadecimal	0x731660

Divisor Catalog (12)

1 2 4 8 16 32 235,699 471,398 942,796 1,885,592 3,771,184 7,542,368

Collatz Trajectory (116 steps to reach 1)

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

7,542,368 3,771,184 1,885,592 942,796 471,398 235,699 707,098 353,549 1,060,648 530,324 265,162 132,581 397,744 198,872 99,436 49,718 24,859 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262

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