8,177,530

2 × 5 × 47 × 127 × 137

Starting at 8,177,530, the Collatz iteration reaches 1 after 111 steps. The first transition is 4088765; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 127 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,261,696

Proper Divisor Sum 7,084,166

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8177513 ← → #8177539

Radix Representation

Decimal	8177530
Binary	11111001100011101111010 (23 bits)
Octal	0o37143572
Hexadecimal	0x7CC77A

Divisor Catalog (32)

Collatz Trajectory (111 steps to reach 1)

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

8,177,530 4,088,765 12,266,296 6,133,148 3,066,574 1,533,287 4,599,862 2,299,931 6,899,794 3,449,897 10,349,692 5,174,846 2,587,423 7,762,270 3,881,135 11,643,406 5,821,703 17,465,110 8,732,555 26,197,666 13,098,833 39,296,500 19,648,250 9,824,125 29,472,376 14,736,188 7,368,094 3,684,047 11,052,142 5,526,071 16,578,214 8,289,107 24,867,322 12,433,661 37,300,984 18,650,492 9,325,246 4,662,623 13,987,870 6,993,935 20,981,806 10,490,903 31,472,710 15,736,355 47,209,066 23,604,533 70,813,600 35,406,800 17,703,400 8,851,700 4,425,850 2,212,925 6,638,776 3,319,388 1,659,694 829,847 2,489,542 1,244,771 3,734,314 1,867,157

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