λ
Sequence Observatory

3,029,505

3 × 5 × 139 × 1453
Deficient Odd Composite

Starting at 3,029,505, the Collatz iteration reaches 1 after 182 steps. The first transition is 9088516; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 139 × 1453
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,885,440
Proper Divisor Sum 1,855,935
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3029501 ← → #3029561

Radix Representation

Decimal 3029505
Binary 1011100011101000000001 (22 bits)
Octal 0o13435001
Hexadecimal 0x2E3A01

Divisor Catalog (16)

1 3 5 15 139 417 695 1,453 2,085 4,359 7,265 21,795 201,967 605,901 1,009,835 3,029,505

Collatz Trajectory (182 steps to reach 1)

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

3,029,505 9,088,516 4,544,258 2,272,129 6,816,388 3,408,194 1,704,097 5,112,292 2,556,146 1,278,073 3,834,220 1,917,110 958,555 2,875,666 1,437,833 4,313,500 2,156,750 1,078,375 3,235,126 1,617,563 4,852,690 2,426,345 7,279,036 3,639,518 1,819,759 5,459,278 2,729,639 8,188,918 4,094,459 12,283,378 6,141,689 18,425,068 9,212,534 4,606,267 13,818,802 6,909,401 20,728,204 10,364,102 5,182,051 15,546,154 7,773,077 23,319,232 11,659,616 5,829,808 2,914,904 1,457,452 728,726 364,363 1,093,090 546,545 1,639,636 819,818 409,909 1,229,728 614,864 307,432 153,716 76,858 38,429 115,288

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