λ
Sequence Observatory

5,420,905

5 × 7 × 154883
Deficient Odd Composite

Starting at 5,420,905, the Collatz iteration reaches 1 after 87 steps. The first transition is 16262716; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 154883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,434,432
Proper Divisor Sum 2,013,527
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5420879 ← → #5420917

Radix Representation

Decimal 5420905
Binary 10100101011011101101001 (23 bits)
Octal 0o24533551
Hexadecimal 0x52B769

Divisor Catalog (8)

1 5 7 35 154,883 774,415 1,084,181 5,420,905

Collatz Trajectory (87 steps to reach 1)

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

5,420,905 16,262,716 8,131,358 4,065,679 12,197,038 6,098,519 18,295,558 9,147,779 27,443,338 13,721,669 41,165,008 20,582,504 10,291,252 5,145,626 2,572,813 7,718,440 3,859,220 1,929,610 964,805 2,894,416 1,447,208 723,604 361,802 180,901 542,704 271,352 135,676 67,838 33,919 101,758 50,879 152,638 76,319 228,958 114,479 343,438 171,719 515,158 257,579 772,738 386,369 1,159,108 579,554 289,777 869,332 434,666 217,333 652,000 326,000 163,000 81,500 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384

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