λ
Sequence Observatory

1,300,127

1300127
Deficient Odd Prime

Starting at 1,300,127, the Collatz iteration reaches 1 after 178 steps. The first transition is 3900382; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1300127
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,300,128
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1300111 ← → #1300129

Radix Representation

Decimal 1300127
Binary 100111101011010011111 (21 bits)
Octal 0o4753237
Hexadecimal 0x13D69F

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

1,300,127 3,900,382 1,950,191 5,850,574 2,925,287 8,775,862 4,387,931 13,163,794 6,581,897 19,745,692 9,872,846 4,936,423 14,809,270 7,404,635 22,213,906 11,106,953 33,320,860 16,660,430 8,330,215 24,990,646 12,495,323 37,485,970 18,742,985 56,228,956 28,114,478 14,057,239 42,171,718 21,085,859 63,257,578 31,628,789 94,886,368 47,443,184 23,721,592 11,860,796 5,930,398 2,965,199 8,895,598 4,447,799 13,343,398 6,671,699 20,015,098 10,007,549 30,022,648 15,011,324 7,505,662 3,752,831 11,258,494 5,629,247 16,887,742 8,443,871 25,331,614 12,665,807 37,997,422 18,998,711 56,996,134 28,498,067 85,494,202 42,747,101 128,241,304 64,120,652

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