λ
Prime Ledger

3,032,113

7 × 23 × 37 × 509
Deficient Odd Composite

3,032,113 has the prime decomposition 7 × 23 × 37 × 509. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 37 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,720,960
Proper Divisor Sum 688,847
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3032093 ← → #3032119

Radix Representation

Decimal 3032113
Binary 1011100100010000110001 (22 bits)
Octal 0o13442061
Hexadecimal 0x2E4431

Divisor Catalog (16)

1 7 23 37 161 259 509 851 3,563 5,957 11,707 18,833 81,949 131,831 433,159 3,032,113

Collatz Trajectory (81 steps to reach 1)

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

3,032,113 9,096,340 4,548,170 2,274,085 6,822,256 3,411,128 1,705,564 852,782 426,391 1,279,174 639,587 1,918,762 959,381 2,878,144 1,439,072 719,536 359,768 179,884 89,942 44,971 134,914 67,457 202,372 101,186 50,593 151,780 75,890 37,945 113,836 56,918 28,459 85,378 42,689 128,068 64,034 32,017 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535

More profiles

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