7,515,058

2 × 73 × 51473

Starting at 7,515,058, the Collatz iteration reaches 1 after 186 steps. The first transition is 3757529; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 51473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,427,228

Proper Divisor Sum 3,912,170

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7515047 ← → #7515061

Radix Representation

Decimal	7515058
Binary	11100101010101110110010 (23 bits)
Octal	0o34525662
Hexadecimal	0x72ABB2

Divisor Catalog (8)

1 2 73 146 51,473 102,946 3,757,529 7,515,058

Collatz Trajectory (186 steps to reach 1)

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

7,515,058 3,757,529 11,272,588 5,636,294 2,818,147 8,454,442 4,227,221 12,681,664 6,340,832 3,170,416 1,585,208 792,604 396,302 198,151 594,454 297,227 891,682 445,841 1,337,524 668,762 334,381 1,003,144 501,572 250,786 125,393 376,180 188,090 94,045 282,136 141,068 70,534 35,267 105,802 52,901 158,704 79,352 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945

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