7,273,915

5 × 11³ × 1093

Starting at 7,273,915, the Collatz iteration reaches 1 after 111 steps. The first transition is 21821746; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11^3 × 1093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,609,696

Proper Divisor Sum 2,335,781

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7273913 ← → #7273921

Radix Representation

Decimal	7273915
Binary	11011101111110110111011 (23 bits)
Octal	0o33576673
Hexadecimal	0x6EFDBB

Divisor Catalog (16)

1 5 11 55 121 605 1,093 1,331 5,465 6,655 12,023 60,115 132,253 661,265 1,454,783 7,273,915

Collatz Trajectory (111 steps to reach 1)

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

7,273,915 21,821,746 10,910,873 32,732,620 16,366,310 8,183,155 24,549,466 12,274,733 36,824,200 18,412,100 9,206,050 4,603,025 13,809,076 6,904,538 3,452,269 10,356,808 5,178,404 2,589,202 1,294,601 3,883,804 1,941,902 970,951 2,912,854 1,456,427 4,369,282 2,184,641 6,553,924 3,276,962 1,638,481 4,915,444 2,457,722 1,228,861 3,686,584 1,843,292 921,646 460,823 1,382,470 691,235 2,073,706 1,036,853 3,110,560 1,555,280 777,640 388,820 194,410 97,205 291,616 145,808 72,904 36,452 18,226 9,113 27,340 13,670 6,835 20,506 10,253 30,760 15,380 7,690

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