λ
Sequence Observatory

4,625,173

7 × 17 × 38867
Deficient Odd Composite

Starting at 4,625,173, the Collatz iteration reaches 1 after 149 steps. The first transition is 13875520; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 38867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,596,992
Proper Divisor Sum 971,819
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4625167 ← → #4625183

Radix Representation

Decimal 4625173
Binary 10001101001001100010101 (23 bits)
Octal 0o21511425
Hexadecimal 0x469315

Divisor Catalog (8)

1 7 17 119 38,867 272,069 660,739 4,625,173

Collatz Trajectory (149 steps to reach 1)

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

4,625,173 13,875,520 6,937,760 3,468,880 1,734,440 867,220 433,610 216,805 650,416 325,208 162,604 81,302 40,651 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137

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