λ
Sequence Observatory

4,441,762

2 × 13 × 170837
Deficient Even Composite

Starting at 4,441,762, the Collatz iteration reaches 1 after 74 steps. The first transition is 2220881; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 170837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,175,196
Proper Divisor Sum 2,733,434
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4441757 ← → #4441769

Radix Representation

Decimal 4441762
Binary 10000111100011010100010 (23 bits)
Octal 0o20743242
Hexadecimal 0x43C6A2

Divisor Catalog (8)

1 2 13 26 170,837 341,674 2,220,881 4,441,762

Collatz Trajectory (74 steps to reach 1)

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

4,441,762 2,220,881 6,662,644 3,331,322 1,665,661 4,996,984 2,498,492 1,249,246 624,623 1,873,870 936,935 2,810,806 1,405,403 4,216,210 2,108,105 6,324,316 3,162,158 1,581,079 4,743,238 2,371,619 7,114,858 3,557,429 10,672,288 5,336,144 2,668,072 1,334,036 667,018 333,509 1,000,528 500,264 250,132 125,066 62,533 187,600 93,800 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22

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