λ
Sequence Observatory

4,947,529

37 × 133717
Deficient Odd Composite

Starting at 4,947,529, the Collatz iteration reaches 1 after 281 steps. The first transition is 14842588; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 133717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,081,284
Proper Divisor Sum 133,755
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4947521 ← → #4947557

Radix Representation

Decimal 4947529
Binary 10010110111111001001001 (23 bits)
Octal 0o22677111
Hexadecimal 0x4B7E49

Divisor Catalog (4)

1 37 133,717 4,947,529

Collatz Trajectory (281 steps to reach 1)

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

4,947,529 14,842,588 7,421,294 3,710,647 11,131,942 5,565,971 16,697,914 8,348,957 25,046,872 12,523,436 6,261,718 3,130,859 9,392,578 4,696,289 14,088,868 7,044,434 3,522,217 10,566,652 5,283,326 2,641,663 7,924,990 3,962,495 11,887,486 5,943,743 17,831,230 8,915,615 26,746,846 13,373,423 40,120,270 20,060,135 60,180,406 30,090,203 90,270,610 45,135,305 135,405,916 67,702,958 33,851,479 101,554,438 50,777,219 152,331,658 76,165,829 228,497,488 114,248,744 57,124,372 28,562,186 14,281,093 42,843,280 21,421,640 10,710,820 5,355,410 2,677,705 8,033,116 4,016,558 2,008,279 6,024,838 3,012,419 9,037,258 4,518,629 13,555,888 6,777,944

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