λ
Integer Codex

7,563,331

7563331
Deficient Odd Prime

For 7,563,331, the 2 positive divisors have a total of 7,563,332. Removing 7,563,331 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7563331
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,563,332
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7563323 ← → #7563337

Radix Representation

Decimal 7563331
Binary 11100110110100001000011 (23 bits)
Octal 0o34664103
Hexadecimal 0x736843

Divisor Catalog (2)

1 7,563,331

Collatz Trajectory (279 steps to reach 1)

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

7,563,331 22,689,994 11,344,997 34,034,992 17,017,496 8,508,748 4,254,374 2,127,187 6,381,562 3,190,781 9,572,344 4,786,172 2,393,086 1,196,543 3,589,630 1,794,815 5,384,446 2,692,223 8,076,670 4,038,335 12,115,006 6,057,503 18,172,510 9,086,255 27,258,766 13,629,383 40,888,150 20,444,075 61,332,226 30,666,113 91,998,340 45,999,170 22,999,585 68,998,756 34,499,378 17,249,689 51,749,068 25,874,534 12,937,267 38,811,802 19,405,901 58,217,704 29,108,852 14,554,426 7,277,213 21,831,640 10,915,820 5,457,910 2,728,955 8,186,866 4,093,433 12,280,300 6,140,150 3,070,075 9,210,226 4,605,113 13,815,340 6,907,670 3,453,835 10,361,506

More profiles

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