λ
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Atlas › Integer Profiles › Node 13,596,154

13,596,154

2 × 11 × 13 × 137 × 347
Deficient Even Composite

13,596,154 factors as 2 × 11 × 13 × 137 × 347. Its 32 positive divisors give a proper-divisor sum of 10,607,942, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 137 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,204,096
Proper Divisor Sum 10,607,942
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13596139 ← → #13596173

Radix Representation

Decimal 13596154
Binary 110011110111010111111010 (24 bits)
Octal 0o63672772
Hexadecimal 0xCF75FA

Divisor Catalog (32)

1 2 11 13 22 26 137 143 274 286 347 694 1,507 1,781 3,014 3,562 3,817 4,511 7,634 9,022 19,591 39,182 47,539 49,621 95,078 99,242 522,929 618,007 1,045,858 1,236,014 6,798,077 13,596,154

Collatz Trajectory (148 steps to reach 1)

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

13,596,154 6,798,077 20,394,232 10,197,116 5,098,558 2,549,279 7,647,838 3,823,919 11,471,758 5,735,879 17,207,638 8,603,819 25,811,458 12,905,729 38,717,188 19,358,594 9,679,297 29,037,892 14,518,946 7,259,473 21,778,420 10,889,210 5,444,605 16,333,816 8,166,908 4,083,454 2,041,727 6,125,182 3,062,591 9,187,774 4,593,887 13,781,662 6,890,831 20,672,494 10,336,247 31,008,742 15,504,371 46,513,114 23,256,557 69,769,672 34,884,836 17,442,418 8,721,209 26,163,628 13,081,814 6,540,907 19,622,722 9,811,361 29,434,084 14,717,042 7,358,521 22,075,564 11,037,782 5,518,891 16,556,674 8,278,337 24,835,012 12,417,506 6,208,753 18,626,260

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