2,409,847

11 × 31 × 37 × 191

Starting at 2,409,847, the Collatz iteration reaches 1 after 130 steps. The first transition is 7229542; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 31 × 37 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,801,664

Proper Divisor Sum 391,817

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2409839 ← → #2409859

Radix Representation

Decimal	2409847
Binary	1001001100010101110111 (22 bits)
Octal	0o11142567
Hexadecimal	0x24C577

Divisor Catalog (16)

1 11 31 37 191 341 407 1,147 2,101 5,921 7,067 12,617 65,131 77,737 219,077 2,409,847

Collatz Trajectory (130 steps to reach 1)

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

2,409,847 7,229,542 3,614,771 10,844,314 5,422,157 16,266,472 8,133,236 4,066,618 2,033,309 6,099,928 3,049,964 1,524,982 762,491 2,287,474 1,143,737 3,431,212 1,715,606 857,803 2,573,410 1,286,705 3,860,116 1,930,058 965,029 2,895,088 1,447,544 723,772 361,886 180,943 542,830 271,415 814,246 407,123 1,221,370 610,685 1,832,056 916,028 458,014 229,007 687,022 343,511 1,030,534 515,267 1,545,802 772,901 2,318,704 1,159,352 579,676 289,838 144,919 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708

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