λ
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6,973,690

2 × 5 × 41 × 73 × 233
Deficient Even Composite

6,973,690 factors as 2 × 5 × 41 × 73 × 233. Its 32 positive divisors give a proper-divisor sum of 6,117,206, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 73 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,090,896
Proper Divisor Sum 6,117,206
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6973679 ← → #6973699

Radix Representation

Decimal 6973690
Binary 11010100110100011111010 (23 bits)
Octal 0o32464372
Hexadecimal 0x6A68FA

Divisor Catalog (32)

1 2 5 10 41 73 82 146 205 233 365 410 466 730 1,165 2,330 2,993 5,986 9,553 14,965 17,009 19,106 29,930 34,018 47,765 85,045 95,530 170,090 697,369 1,394,738 3,486,845 6,973,690

Collatz Trajectory (160 steps to reach 1)

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

6,973,690 3,486,845 10,460,536 5,230,268 2,615,134 1,307,567 3,922,702 1,961,351 5,884,054 2,942,027 8,826,082 4,413,041 13,239,124 6,619,562 3,309,781 9,929,344 4,964,672 2,482,336 1,241,168 620,584 310,292 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378

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