7,274,415

3 × 5 × 89 × 5449

Starting at 7,274,415, the Collatz iteration reaches 1 after 204 steps. The first transition is 21823246; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 89 × 5449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,772,000

Proper Divisor Sum 4,497,585

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7274413 ← → #7274431

Radix Representation

Decimal	7274415
Binary	11011101111111110101111 (23 bits)
Octal	0o33577657
Hexadecimal	0x6EFFAF

Divisor Catalog (16)

1 3 5 15 89 267 445 1,335 5,449 16,347 27,245 81,735 484,961 1,454,883 2,424,805 7,274,415

Collatz Trajectory (204 steps to reach 1)

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

7,274,415 21,823,246 10,911,623 32,734,870 16,367,435 49,102,306 24,551,153 73,653,460 36,826,730 18,413,365 55,240,096 27,620,048 13,810,024 6,905,012 3,452,506 1,726,253 5,178,760 2,589,380 1,294,690 647,345 1,942,036 971,018 485,509 1,456,528 728,264 364,132 182,066 91,033 273,100 136,550 68,275 204,826 102,413 307,240 153,620 76,810 38,405 115,216 57,608 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694

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