7,537,567

67 × 112501

Starting at 7,537,567, the Collatz iteration reaches 1 after 279 steps. The first transition is 22612702; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 67 × 112501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,650,136

Proper Divisor Sum 112,569

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7537561 ← → #7537571

Radix Representation

Decimal	7537567
Binary	11100110000001110011111 (23 bits)
Octal	0o34601637
Hexadecimal	0x73039F

Divisor Catalog (4)

1 67 112,501 7,537,567

Collatz Trajectory (279 steps to reach 1)

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

7,537,567 22,612,702 11,306,351 33,919,054 16,959,527 50,878,582 25,439,291 76,317,874 38,158,937 114,476,812 57,238,406 28,619,203 85,857,610 42,928,805 128,786,416 64,393,208 32,196,604 16,098,302 8,049,151 24,147,454 12,073,727 36,221,182 18,110,591 54,331,774 27,165,887 81,497,662 40,748,831 122,246,494 61,123,247 183,369,742 91,684,871 275,054,614 137,527,307 412,581,922 206,290,961 618,872,884 309,436,442 154,718,221 464,154,664 232,077,332 116,038,666 58,019,333 174,058,000 87,029,000 43,514,500 21,757,250 10,878,625 32,635,876 16,317,938 8,158,969 24,476,908 12,238,454 6,119,227 18,357,682 9,178,841 27,536,524 13,768,262 6,884,131 20,652,394 10,326,197

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