λ
Prime Ledger

5,424,015

3 × 5 × 29 × 37 × 337
Deficient Odd Composite

5,424,015 has the prime decomposition 3 × 5 × 29 × 37 × 337. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 37 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,247,680
Proper Divisor Sum 3,823,665
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5424011 ← → #5424017

Radix Representation

Decimal 5424015
Binary 10100101100001110001111 (23 bits)
Octal 0o24541617
Hexadecimal 0x52C38F

Divisor Catalog (32)

1 3 5 15 29 37 87 111 145 185 337 435 555 1,011 1,073 1,685 3,219 5,055 5,365 9,773 12,469 16,095 29,319 37,407 48,865 62,345 146,595 187,035 361,601 1,084,803 1,808,005 5,424,015

Collatz Trajectory (87 steps to reach 1)

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

5,424,015 16,272,046 8,136,023 24,408,070 12,204,035 36,612,106 18,306,053 54,918,160 27,459,080 13,729,540 6,864,770 3,432,385 10,297,156 5,148,578 2,574,289 7,722,868 3,861,434 1,930,717 5,792,152 2,896,076 1,448,038 724,019 2,172,058 1,086,029 3,258,088 1,629,044 814,522 407,261 1,221,784 610,892 305,446 152,723 458,170 229,085 687,256 343,628 171,814 85,907 257,722 128,861 386,584 193,292 96,646 48,323 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734

More profiles

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