7,542,391

67 × 112573

Starting at 7,542,391, the Collatz iteration reaches 1 after 129 steps. The first transition is 22627174; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 67 × 112573

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,655,032

Proper Divisor Sum 112,641

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7542389 ← → #7542439

Radix Representation

Decimal	7542391
Binary	11100110001011001110111 (23 bits)
Octal	0o34613167
Hexadecimal	0x731677

Divisor Catalog (4)

1 67 112,573 7,542,391

Collatz Trajectory (129 steps to reach 1)

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

7,542,391 22,627,174 11,313,587 33,940,762 16,970,381 50,911,144 25,455,572 12,727,786 6,363,893 19,091,680 9,545,840 4,772,920 2,386,460 1,193,230 596,615 1,789,846 894,923 2,684,770 1,342,385 4,027,156 2,013,578 1,006,789 3,020,368 1,510,184 755,092 377,546 188,773 566,320 283,160 141,580 70,790 35,395 106,186 53,093 159,280 79,640 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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