λ
Prime Ledger

7,003,161

32 × 11 × 127 × 557
Deficient Odd Composite

7,003,161 has the prime decomposition 3^2 × 11 × 127 × 557. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 127 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,142,144
Proper Divisor Sum 4,138,983
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7003127 ← → #7003163

Radix Representation

Decimal 7003161
Binary 11010101101110000011001 (23 bits)
Octal 0o32556031
Hexadecimal 0x6ADC19

Divisor Catalog (24)

1 3 9 11 33 99 127 381 557 1,143 1,397 1,671 4,191 5,013 6,127 12,573 18,381 55,143 70,739 212,217 636,651 778,129 2,334,387 7,003,161

Collatz Trajectory (191 steps to reach 1)

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

7,003,161 21,009,484 10,504,742 5,252,371 15,757,114 7,878,557 23,635,672 11,817,836 5,908,918 2,954,459 8,863,378 4,431,689 13,295,068 6,647,534 3,323,767 9,971,302 4,985,651 14,956,954 7,478,477 22,435,432 11,217,716 5,608,858 2,804,429 8,413,288 4,206,644 2,103,322 1,051,661 3,154,984 1,577,492 788,746 394,373 1,183,120 591,560 295,780 147,890 73,945 221,836 110,918 55,459 166,378 83,189 249,568 124,784 62,392 31,196 15,598 7,799 23,398 11,699 35,098 17,549 52,648 26,324 13,162 6,581 19,744 9,872 4,936 2,468 1,234

More profiles

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