λ
Sequence Observatory

4,616,865

33 × 5 × 11 × 3109
Deficient Odd Composite

Starting at 4,616,865, the Collatz iteration reaches 1 after 105 steps. The first transition is 13850596; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 3109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,956,800
Proper Divisor Sum 4,339,935
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4616863 ← → #4616879

Radix Representation

Decimal 4616865
Binary 10001100111001010100001 (23 bits)
Octal 0o21471241
Hexadecimal 0x4672A1

Divisor Catalog (32)

1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1,485 3,109 9,327 15,545 27,981 34,199 46,635 83,943 102,597 139,905 170,995 307,791 419,715 512,985 923,373 1,538,955 4,616,865

Collatz Trajectory (105 steps to reach 1)

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

4,616,865 13,850,596 6,925,298 3,462,649 10,387,948 5,193,974 2,596,987 7,790,962 3,895,481 11,686,444 5,843,222 2,921,611 8,764,834 4,382,417 13,147,252 6,573,626 3,286,813 9,860,440 4,930,220 2,465,110 1,232,555 3,697,666 1,848,833 5,546,500 2,773,250 1,386,625 4,159,876 2,079,938 1,039,969 3,119,908 1,559,954 779,977 2,339,932 1,169,966 584,983 1,754,950 877,475 2,632,426 1,316,213 3,948,640 1,974,320 987,160 493,580 246,790 123,395 370,186 185,093 555,280 277,640 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284

More profiles

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