λ
Integer Codex

9,831,522

2 × 3 × 29 × 56503
Abundant Even Composite

For 9,831,522, the 16 positive divisors have a total of 20,341,440. Removing 9,831,522 leaves 10,509,918, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 56503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,341,440
Proper Divisor Sum 10,509,918
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9831517 ← → #9831527

Radix Representation

Decimal 9831522
Binary 100101100000010001100010 (24 bits)
Octal 0o45402142
Hexadecimal 0x960462

Divisor Catalog (16)

1 2 3 6 29 58 87 174 56,503 113,006 169,509 339,018 1,638,587 3,277,174 4,915,761 9,831,522

Collatz Trajectory (88 steps to reach 1)

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

9,831,522 4,915,761 14,747,284 7,373,642 3,686,821 11,060,464 5,530,232 2,765,116 1,382,558 691,279 2,073,838 1,036,919 3,110,758 1,555,379 4,666,138 2,333,069 6,999,208 3,499,604 1,749,802 874,901 2,624,704 1,312,352 656,176 328,088 164,044 82,022 41,011 123,034 61,517 184,552 92,276 46,138 23,069 69,208 34,604 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289

More profiles

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