7,182,745

5 × 89 × 16141

Starting at 7,182,745, the Collatz iteration reaches 1 after 191 steps. The first transition is 21548236; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 89 × 16141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,716,680

Proper Divisor Sum 1,533,935

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7182743 ← → #7182751

Radix Representation

Decimal	7182745
Binary	11011011001100110011001 (23 bits)
Octal	0o33314631
Hexadecimal	0x6D9999

Divisor Catalog (8)

1 5 89 445 16,141 80,705 1,436,549 7,182,745

Collatz Trajectory (191 steps to reach 1)

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

7,182,745 21,548,236 10,774,118 5,387,059 16,161,178 8,080,589 24,241,768 12,120,884 6,060,442 3,030,221 9,090,664 4,545,332 2,272,666 1,136,333 3,409,000 1,704,500 852,250 426,125 1,278,376 639,188 319,594 159,797 479,392 239,696 119,848 59,924 29,962 14,981 44,944 22,472 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612

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