λ
Sequence Observatory

5,635,371

3 × 7 × 127 × 2113
Deficient Odd Composite

Starting at 5,635,371, the Collatz iteration reaches 1 after 307 steps. The first transition is 16906114; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 127 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,658,944
Proper Divisor Sum 3,023,573
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5635361 ← → #5635373

Radix Representation

Decimal 5635371
Binary 10101011111110100101011 (23 bits)
Octal 0o25376453
Hexadecimal 0x55FD2B

Divisor Catalog (16)

1 3 7 21 127 381 889 2,113 2,667 6,339 14,791 44,373 268,351 805,053 1,878,457 5,635,371

Collatz Trajectory (307 steps to reach 1)

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

5,635,371 16,906,114 8,453,057 25,359,172 12,679,586 6,339,793 19,019,380 9,509,690 4,754,845 14,264,536 7,132,268 3,566,134 1,783,067 5,349,202 2,674,601 8,023,804 4,011,902 2,005,951 6,017,854 3,008,927 9,026,782 4,513,391 13,540,174 6,770,087 20,310,262 10,155,131 30,465,394 15,232,697 45,698,092 22,849,046 11,424,523 34,273,570 17,136,785 51,410,356 25,705,178 12,852,589 38,557,768 19,278,884 9,639,442 4,819,721 14,459,164 7,229,582 3,614,791 10,844,374 5,422,187 16,266,562 8,133,281 24,399,844 12,199,922 6,099,961 18,299,884 9,149,942 4,574,971 13,724,914 6,862,457 20,587,372 10,293,686 5,146,843 15,440,530 7,720,265

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