7,223,002

2 × 19 × 67 × 2837

Starting at 7,223,002, the Collatz iteration reaches 1 after 90 steps. The first transition is 3611501; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 67 × 2837

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,579,040

Proper Divisor Sum 4,356,038

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #7222991 ← → #7223017

Radix Representation

Decimal	7223002
Binary	11011100011011011011010 (23 bits)
Octal	0o33433332
Hexadecimal	0x6E36DA

Divisor Catalog (16)

1 2 19 38 67 134 1,273 2,546 2,837 5,674 53,903 107,806 190,079 380,158 3,611,501 7,223,002

Collatz Trajectory (90 steps to reach 1)

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

7,223,002 3,611,501 10,834,504 5,417,252 2,708,626 1,354,313 4,062,940 2,031,470 1,015,735 3,047,206 1,523,603 4,570,810 2,285,405 6,856,216 3,428,108 1,714,054 857,027 2,571,082 1,285,541 3,856,624 1,928,312 964,156 482,078 241,039 723,118 361,559 1,084,678 542,339 1,627,018 813,509 2,440,528 1,220,264 610,132 305,066 152,533 457,600 228,800 114,400 57,200 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640

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