7,419,789

3³ × 13 × 21139

Starting at 7,419,789, the Collatz iteration reaches 1 after 173 steps. The first transition is 22259368; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 21139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,838,400

Proper Divisor Sum 4,418,611

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7419787 ← → #7419799

Radix Representation

Decimal	7419789
Binary	11100010011011110001101 (23 bits)
Octal	0o34233615
Hexadecimal	0x71378D

Divisor Catalog (16)

1 3 9 13 27 39 117 351 21,139 63,417 190,251 274,807 570,753 824,421 2,473,263 7,419,789

Collatz Trajectory (173 steps to reach 1)

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

7,419,789 22,259,368 11,129,684 5,564,842 2,782,421 8,347,264 4,173,632 2,086,816 1,043,408 521,704 260,852 130,426 65,213 195,640 97,820 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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