4,298,133

3 × 7³ × 4177

Starting at 4,298,133, the Collatz iteration reaches 1 after 74 steps. The first transition is 12894400; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^3 × 4177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,684,800

Proper Divisor Sum 2,386,667

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4298131 ← → #4298137

Radix Representation

Decimal	4298133
Binary	10000011001010110010101 (23 bits)
Octal	0o20312625
Hexadecimal	0x419595

Divisor Catalog (16)

1 3 7 21 49 147 343 1,029 4,177 12,531 29,239 87,717 204,673 614,019 1,432,711 4,298,133

Collatz Trajectory (74 steps to reach 1)

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

4,298,133 12,894,400 6,447,200 3,223,600 1,611,800 805,900 402,950 201,475 604,426 302,213 906,640 453,320 226,660 113,330 56,665 169,996 84,998 42,499 127,498 63,749 191,248 95,624 47,812 23,906 11,953 35,860 17,930 8,965 26,896 13,448 6,724 3,362 1,681 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22

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