7,526,877

3 × 293 × 8563

Starting at 7,526,877, the Collatz iteration reaches 1 after 204 steps. The first transition is 22580632; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 293 × 8563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,071,264

Proper Divisor Sum 2,544,387

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7526861 ← → #7526879

Radix Representation

Decimal	7526877
Binary	11100101101100111011101 (23 bits)
Octal	0o34554735
Hexadecimal	0x72D9DD

Divisor Catalog (8)

1 3 293 879 8,563 25,689 2,508,959 7,526,877

Collatz Trajectory (204 steps to reach 1)

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

7,526,877 22,580,632 11,290,316 5,645,158 2,822,579 8,467,738 4,233,869 12,701,608 6,350,804 3,175,402 1,587,701 4,763,104 2,381,552 1,190,776 595,388 297,694 148,847 446,542 223,271 669,814 334,907 1,004,722 502,361 1,507,084 753,542 376,771 1,130,314 565,157 1,695,472 847,736 423,868 211,934 105,967 317,902 158,951 476,854 238,427 715,282 357,641 1,072,924 536,462 268,231 804,694 402,347 1,207,042 603,521 1,810,564 905,282 452,641 1,357,924 678,962 339,481 1,018,444 509,222 254,611 763,834 381,917 1,145,752 572,876 286,438

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