7,527,969

3² × 23 × 41 × 887

Starting at 7,527,969, the Collatz iteration reaches 1 after 279 steps. The first transition is 22583908; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 41 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,636,352

Proper Divisor Sum 4,108,383

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7527953 ← → #7527977

Radix Representation

Decimal	7527969
Binary	11100101101111000100001 (23 bits)
Octal	0o34557041
Hexadecimal	0x72DE21

Divisor Catalog (24)

1 3 9 23 41 69 123 207 369 887 943 2,661 2,829 7,983 8,487 20,401 36,367 61,203 109,101 183,609 327,303 836,441 2,509,323 7,527,969

Collatz Trajectory (279 steps to reach 1)

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

7,527,969 22,583,908 11,291,954 5,645,977 16,937,932 8,468,966 4,234,483 12,703,450 6,351,725 19,055,176 9,527,588 4,763,794 2,381,897 7,145,692 3,572,846 1,786,423 5,359,270 2,679,635 8,038,906 4,019,453 12,058,360 6,029,180 3,014,590 1,507,295 4,521,886 2,260,943 6,782,830 3,391,415 10,174,246 5,087,123 15,261,370 7,630,685 22,892,056 11,446,028 5,723,014 2,861,507 8,584,522 4,292,261 12,876,784 6,438,392 3,219,196 1,609,598 804,799 2,414,398 1,207,199 3,621,598 1,810,799 5,432,398 2,716,199 8,148,598 4,074,299 12,222,898 6,111,449 18,334,348 9,167,174 4,583,587 13,750,762 6,875,381 20,626,144 10,313,072

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