7,524,813

3 × 673 × 3727

Starting at 7,524,813, the Collatz iteration reaches 1 after 279 steps. The first transition is 22574440; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 673 × 3727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,050,688

Proper Divisor Sum 2,525,875

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7524799 ← → #7524851

Radix Representation

Decimal	7524813
Binary	11100101101000111001101 (23 bits)
Octal	0o34550715
Hexadecimal	0x72D1CD

Divisor Catalog (8)

1 3 673 2,019 3,727 11,181 2,508,271 7,524,813

Collatz Trajectory (279 steps to reach 1)

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

7,524,813 22,574,440 11,287,220 5,643,610 2,821,805 8,465,416 4,232,708 2,116,354 1,058,177 3,174,532 1,587,266 793,633 2,380,900 1,190,450 595,225 1,785,676 892,838 446,419 1,339,258 669,629 2,008,888 1,004,444 502,222 251,111 753,334 376,667 1,130,002 565,001 1,695,004 847,502 423,751 1,271,254 635,627 1,906,882 953,441 2,860,324 1,430,162 715,081 2,145,244 1,072,622 536,311 1,608,934 804,467 2,413,402 1,206,701 3,620,104 1,810,052 905,026 452,513 1,357,540 678,770 339,385 1,018,156 509,078 254,539 763,618 381,809 1,145,428 572,714 286,357

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