λ
Integer Codex

9,835,359

3 × 59 × 181 × 307
Deficient Odd Composite

For 9,835,359, the 16 positive divisors have a total of 13,453,440. Removing 9,835,359 leaves 3,618,081, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 59 × 181 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,453,440
Proper Divisor Sum 3,618,081
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9835337 ← → #9835373

Radix Representation

Decimal 9835359
Binary 100101100001001101011111 (24 bits)
Octal 0o45411537
Hexadecimal 0x96135F

Divisor Catalog (16)

1 3 59 177 181 307 543 921 10,679 18,113 32,037 54,339 55,567 166,701 3,278,453 9,835,359

Collatz Trajectory (207 steps to reach 1)

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

9,835,359 29,506,078 14,753,039 44,259,118 22,129,559 66,388,678 33,194,339 99,583,018 49,791,509 149,374,528 74,687,264 37,343,632 18,671,816 9,335,908 4,667,954 2,333,977 7,001,932 3,500,966 1,750,483 5,251,450 2,625,725 7,877,176 3,938,588 1,969,294 984,647 2,953,942 1,476,971 4,430,914 2,215,457 6,646,372 3,323,186 1,661,593 4,984,780 2,492,390 1,246,195 3,738,586 1,869,293 5,607,880 2,803,940 1,401,970 700,985 2,102,956 1,051,478 525,739 1,577,218 788,609 2,365,828 1,182,914 591,457 1,774,372 887,186 443,593 1,330,780 665,390 332,695 998,086 499,043 1,497,130 748,565 2,245,696

More profiles

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