λ
Sequence Observatory

6,224,223

3 × 523 × 3967
Deficient Odd Composite

Starting at 6,224,223, the Collatz iteration reaches 1 after 196 steps. The first transition is 18672670; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 523 × 3967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,316,928
Proper Divisor Sum 2,092,705
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6224221 ← → #6224243

Radix Representation

Decimal 6224223
Binary 10111101111100101011111 (23 bits)
Octal 0o27574537
Hexadecimal 0x5EF95F

Divisor Catalog (8)

1 3 523 1,569 3,967 11,901 2,074,741 6,224,223

Collatz Trajectory (196 steps to reach 1)

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

6,224,223 18,672,670 9,336,335 28,009,006 14,004,503 42,013,510 21,006,755 63,020,266 31,510,133 94,530,400 47,265,200 23,632,600 11,816,300 5,908,150 2,954,075 8,862,226 4,431,113 13,293,340 6,646,670 3,323,335 9,970,006 4,985,003 14,955,010 7,477,505 22,432,516 11,216,258 5,608,129 16,824,388 8,412,194 4,206,097 12,618,292 6,309,146 3,154,573 9,463,720 4,731,860 2,365,930 1,182,965 3,548,896 1,774,448 887,224 443,612 221,806 110,903 332,710 166,355 499,066 249,533 748,600 374,300 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864

More profiles

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