λ
Sequence Observatory

4,310,411

7 × 615773
Deficient Odd Composite

Starting at 4,310,411, the Collatz iteration reaches 1 after 242 steps. The first transition is 12931234; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 615773
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,926,192
Proper Divisor Sum 615,781
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4310393 ← → #4310429

Radix Representation

Decimal 4310411
Binary 10000011100010110001011 (23 bits)
Octal 0o20342613
Hexadecimal 0x41C58B

Divisor Catalog (4)

1 7 615,773 4,310,411

Collatz Trajectory (242 steps to reach 1)

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

4,310,411 12,931,234 6,465,617 19,396,852 9,698,426 4,849,213 14,547,640 7,273,820 3,636,910 1,818,455 5,455,366 2,727,683 8,183,050 4,091,525 12,274,576 6,137,288 3,068,644 1,534,322 767,161 2,301,484 1,150,742 575,371 1,726,114 863,057 2,589,172 1,294,586 647,293 1,941,880 970,940 485,470 242,735 728,206 364,103 1,092,310 546,155 1,638,466 819,233 2,457,700 1,228,850 614,425 1,843,276 921,638 460,819 1,382,458 691,229 2,073,688 1,036,844 518,422 259,211 777,634 388,817 1,166,452 583,226 291,613 874,840 437,420 218,710 109,355 328,066 164,033

More profiles

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