4,391,415

3⁴ × 5 × 7 × 1549

Starting at 4,391,415, the Collatz iteration reaches 1 after 123 steps. The first transition is 13174246; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,002,400

Proper Divisor Sum 4,610,985

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4391411 ← → #4391417

Radix Representation

Decimal	4391415
Binary	10000110000000111110111 (23 bits)
Octal	0o20600767
Hexadecimal	0x4301F7

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1,549 2,835 4,647 7,745 10,843 13,941 23,235 32,529 41,823 54,215 69,705 97,587 125,469 162,645 209,115 292,761 487,935 627,345 878,283 1,463,805 4,391,415

Collatz Trajectory (123 steps to reach 1)

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

4,391,415 13,174,246 6,587,123 19,761,370 9,880,685 29,642,056 14,821,028 7,410,514 3,705,257 11,115,772 5,557,886 2,778,943 8,336,830 4,168,415 12,505,246 6,252,623 18,757,870 9,378,935 28,136,806 14,068,403 42,205,210 21,102,605 63,307,816 31,653,908 15,826,954 7,913,477 23,740,432 11,870,216 5,935,108 2,967,554 1,483,777 4,451,332 2,225,666 1,112,833 3,338,500 1,669,250 834,625 2,503,876 1,251,938 625,969 1,877,908 938,954 469,477 1,408,432 704,216 352,108 176,054 88,027 264,082 132,041 396,124 198,062 99,031 297,094 148,547 445,642 222,821 668,464 334,232 167,116

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