2,267,224

2³ × 283403

Starting at 2,267,224, the Collatz iteration reaches 1 after 91 steps. The first transition is 1133612; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 283403

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,251,060

Proper Divisor Sum 1,983,836

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2267219 ← → #2267227

Radix Representation

Decimal	2267224
Binary	1000101001100001011000 (22 bits)
Octal	0o10514130
Hexadecimal	0x229858

Divisor Catalog (8)

1 2 4 8 283,403 566,806 1,133,612 2,267,224

Collatz Trajectory (91 steps to reach 1)

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

2,267,224 1,133,612 566,806 283,403 850,210 425,105 1,275,316 637,658 318,829 956,488 478,244 239,122 119,561 358,684 179,342 89,671 269,014 134,507 403,522 201,761 605,284 302,642 151,321 453,964 226,982 113,491 340,474 170,237 510,712 255,356 127,678 63,839 191,518 95,759 287,278 143,639 430,918 215,459 646,378 323,189 969,568 484,784 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285

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