λ
Math Directory

7,221,595

5 × 67 × 21557
Deficient Odd Composite

7,221,595 factors as 5 × 67 × 21557. Its 8 positive divisors give a proper-divisor sum of 1,574,069, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 5 × 67 × 21557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,795,664
Proper Divisor Sum 1,574,069
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7221589 ← → #7221611

Radix Representation

Decimal 7221595
Binary 11011100011000101011011 (23 bits)
Octal 0o33430533
Hexadecimal 0x6E315B

Divisor Catalog (8)

1 5 67 335 21,557 107,785 1,444,319 7,221,595

Collatz Trajectory (248 steps to reach 1)

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

7,221,595 21,664,786 10,832,393 32,497,180 16,248,590 8,124,295 24,372,886 12,186,443 36,559,330 18,279,665 54,838,996 27,419,498 13,709,749 41,129,248 20,564,624 10,282,312 5,141,156 2,570,578 1,285,289 3,855,868 1,927,934 963,967 2,891,902 1,445,951 4,337,854 2,168,927 6,506,782 3,253,391 9,760,174 4,880,087 14,640,262 7,320,131 21,960,394 10,980,197 32,940,592 16,470,296 8,235,148 4,117,574 2,058,787 6,176,362 3,088,181 9,264,544 4,632,272 2,316,136 1,158,068 579,034 289,517 868,552 434,276 217,138 108,569 325,708 162,854 81,427 244,282 122,141 366,424 183,212 91,606 45,803

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