λ
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Atlas › Integer Profiles › Node 9,856,535

9,856,535

5 × 13 × 19 × 23 × 347
Deficient Odd Composite

9,856,535 factors as 5 × 13 × 19 × 23 × 347. Its 32 positive divisors give a proper-divisor sum of 4,174,825, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 23 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,031,360
Proper Divisor Sum 4,174,825
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9856531 ← → #9856537

Radix Representation

Decimal 9856535
Binary 100101100110011000010111 (24 bits)
Octal 0o45463027
Hexadecimal 0x966617

Divisor Catalog (32)

1 5 13 19 23 65 95 115 247 299 347 437 1,235 1,495 1,735 2,185 4,511 5,681 6,593 7,981 22,555 28,405 32,965 39,905 85,709 103,753 151,639 428,545 518,765 758,195 1,971,307 9,856,535

Collatz Trajectory (194 steps to reach 1)

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

9,856,535 29,569,606 14,784,803 44,354,410 22,177,205 66,531,616 33,265,808 16,632,904 8,316,452 4,158,226 2,079,113 6,237,340 3,118,670 1,559,335 4,678,006 2,339,003 7,017,010 3,508,505 10,525,516 5,262,758 2,631,379 7,894,138 3,947,069 11,841,208 5,920,604 2,960,302 1,480,151 4,440,454 2,220,227 6,660,682 3,330,341 9,991,024 4,995,512 2,497,756 1,248,878 624,439 1,873,318 936,659 2,809,978 1,404,989 4,214,968 2,107,484 1,053,742 526,871 1,580,614 790,307 2,370,922 1,185,461 3,556,384 1,778,192 889,096 444,548 222,274 111,137 333,412 166,706 83,353 250,060 125,030 62,515

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