λ
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Atlas › Integer Profiles › Node 6,532,071

6,532,071

3 × 7 × 13 × 71 × 337
Deficient Odd Composite

6,532,071 factors as 3 × 7 × 13 × 71 × 337. Its 32 positive divisors give a proper-divisor sum of 4,370,457, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 71 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,902,528
Proper Divisor Sum 4,370,457
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6532051 ← → #6532073

Radix Representation

Decimal 6532071
Binary 11000111010101111100111 (23 bits)
Octal 0o30725747
Hexadecimal 0x63ABE7

Divisor Catalog (32)

1 3 7 13 21 39 71 91 213 273 337 497 923 1,011 1,491 2,359 2,769 4,381 6,461 7,077 13,143 19,383 23,927 30,667 71,781 92,001 167,489 311,051 502,467 933,153 2,177,357 6,532,071

Collatz Trajectory (178 steps to reach 1)

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

6,532,071 19,596,214 9,798,107 29,394,322 14,697,161 44,091,484 22,045,742 11,022,871 33,068,614 16,534,307 49,602,922 24,801,461 74,404,384 37,202,192 18,601,096 9,300,548 4,650,274 2,325,137 6,975,412 3,487,706 1,743,853 5,231,560 2,615,780 1,307,890 653,945 1,961,836 980,918 490,459 1,471,378 735,689 2,207,068 1,103,534 551,767 1,655,302 827,651 2,482,954 1,241,477 3,724,432 1,862,216 931,108 465,554 232,777 698,332 349,166 174,583 523,750 261,875 785,626 392,813 1,178,440 589,220 294,610 147,305 441,916 220,958 110,479 331,438 165,719 497,158 248,579

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