λ
Sequence Observatory

7,377,307

7 × 73 × 14437
Deficient Odd Composite

Starting at 7,377,307, the Collatz iteration reaches 1 after 142 steps. The first transition is 22131922; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 73 × 14437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,547,296
Proper Divisor Sum 1,169,989
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7377283 ← → #7377311

Radix Representation

Decimal 7377307
Binary 11100001001000110011011 (23 bits)
Octal 0o34110633
Hexadecimal 0x70919B

Divisor Catalog (8)

1 7 73 511 14,437 101,059 1,053,901 7,377,307

Collatz Trajectory (142 steps to reach 1)

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

7,377,307 22,131,922 11,065,961 33,197,884 16,598,942 8,299,471 24,898,414 12,449,207 37,347,622 18,673,811 56,021,434 28,010,717 84,032,152 42,016,076 21,008,038 10,504,019 31,512,058 15,756,029 47,268,088 23,634,044 11,817,022 5,908,511 17,725,534 8,862,767 26,588,302 13,294,151 39,882,454 19,941,227 59,823,682 29,911,841 89,735,524 44,867,762 22,433,881 67,301,644 33,650,822 16,825,411 50,476,234 25,238,117 75,714,352 37,857,176 18,928,588 9,464,294 4,732,147 14,196,442 7,098,221 21,294,664 10,647,332 5,323,666 2,661,833 7,985,500 3,992,750 1,996,375 5,989,126 2,994,563 8,983,690 4,491,845 13,475,536 6,737,768 3,368,884 1,684,442

More profiles

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