λ
Sequence Observatory

7,305,491

31 × 235661
Deficient Odd Composite

Starting at 7,305,491, the Collatz iteration reaches 1 after 142 steps. The first transition is 21916474; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 31 × 235661
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,541,184
Proper Divisor Sum 235,693
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7305469 ← → #7305499

Radix Representation

Decimal 7305491
Binary 11011110111100100010011 (23 bits)
Octal 0o33674423
Hexadecimal 0x6F7913

Divisor Catalog (4)

1 31 235,661 7,305,491

Collatz Trajectory (142 steps to reach 1)

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

7,305,491 21,916,474 10,958,237 32,874,712 16,437,356 8,218,678 4,109,339 12,328,018 6,164,009 18,492,028 9,246,014 4,623,007 13,869,022 6,934,511 20,803,534 10,401,767 31,205,302 15,602,651 46,807,954 23,403,977 70,211,932 35,105,966 17,552,983 52,658,950 26,329,475 78,988,426 39,494,213 118,482,640 59,241,320 29,620,660 14,810,330 7,405,165 22,215,496 11,107,748 5,553,874 2,776,937 8,330,812 4,165,406 2,082,703 6,248,110 3,124,055 9,372,166 4,686,083 14,058,250 7,029,125 21,087,376 10,543,688 5,271,844 2,635,922 1,317,961 3,953,884 1,976,942 988,471 2,965,414 1,482,707 4,448,122 2,224,061 6,672,184 3,336,092 1,668,046

More profiles

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