8,503,757

17 × 29 × 47 × 367

Starting at 8,503,757, the Collatz iteration reaches 1 after 75 steps. The first transition is 25511272; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 17 × 29 × 47 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,538,560

Proper Divisor Sum 1,034,803

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8503751 ← → #8503777

Radix Representation

Decimal	8503757
Binary	100000011100000111001101 (24 bits)
Octal	0o40340715
Hexadecimal	0x81C1CD

Divisor Catalog (16)

1 17 29 47 367 493 799 1,363 6,239 10,643 17,249 23,171 180,931 293,233 500,221 8,503,757

Collatz Trajectory (75 steps to reach 1)

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

8,503,757 25,511,272 12,755,636 6,377,818 3,188,909 9,566,728 4,783,364 2,391,682 1,195,841 3,587,524 1,793,762 896,881 2,690,644 1,345,322 672,661 2,017,984 1,008,992 504,496 252,248 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7

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