4,222,847

37 × 61 × 1871

Starting at 4,222,847, the Collatz iteration reaches 1 after 273 steps. The first transition is 12668542; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 61 × 1871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,410,432

Proper Divisor Sum 187,585

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4222843 ← → #4222849

Radix Representation

Decimal	4222847
Binary	10000000110111101111111 (23 bits)
Octal	0o20067577
Hexadecimal	0x406F7F

Divisor Catalog (8)

1 37 61 1,871 2,257 69,227 114,131 4,222,847

Collatz Trajectory (273 steps to reach 1)

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

4,222,847 12,668,542 6,334,271 19,002,814 9,501,407 28,504,222 14,252,111 42,756,334 21,378,167 64,134,502 32,067,251 96,201,754 48,100,877 144,302,632 72,151,316 36,075,658 18,037,829 54,113,488 27,056,744 13,528,372 6,764,186 3,382,093 10,146,280 5,073,140 2,536,570 1,268,285 3,804,856 1,902,428 951,214 475,607 1,426,822 713,411 2,140,234 1,070,117 3,210,352 1,605,176 802,588 401,294 200,647 601,942 300,971 902,914 451,457 1,354,372 677,186 338,593 1,015,780 507,890 253,945 761,836 380,918 190,459 571,378 285,689 857,068 428,534 214,267 642,802 321,401 964,204

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