λ
Sequence Observatory

4,602,974

2 × 101 × 22787
Deficient Even Composite

Starting at 4,602,974, the Collatz iteration reaches 1 after 105 steps. The first transition is 2301487; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 22787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,973,128
Proper Divisor Sum 2,370,154
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4602893 ← → #4602977

Radix Representation

Decimal 4602974
Binary 10001100011110001011110 (23 bits)
Octal 0o21436136
Hexadecimal 0x463C5E

Divisor Catalog (8)

1 2 101 202 22,787 45,574 2,301,487 4,602,974

Collatz Trajectory (105 steps to reach 1)

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

4,602,974 2,301,487 6,904,462 3,452,231 10,356,694 5,178,347 15,535,042 7,767,521 23,302,564 11,651,282 5,825,641 17,476,924 8,738,462 4,369,231 13,107,694 6,553,847 19,661,542 9,830,771 29,492,314 14,746,157 44,238,472 22,119,236 11,059,618 5,529,809 16,589,428 8,294,714 4,147,357 12,442,072 6,221,036 3,110,518 1,555,259 4,665,778 2,332,889 6,998,668 3,499,334 1,749,667 5,249,002 2,624,501 7,873,504 3,936,752 1,968,376 984,188 492,094 246,047 738,142 369,071 1,107,214 553,607 1,660,822 830,411 2,491,234 1,245,617 3,736,852 1,868,426 934,213 2,802,640 1,401,320 700,660 350,330 175,165

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