λ
Harmonic Matrix

5,287,421

139 × 38039
Deficient Odd Composite

5,287,421 has digital root 2. The neighboring primes are 5287393 and 5287427; its proper-divisor sum differs from the starting integer by -5,249,242.

Prime Factor Structure

Factorization String 139 × 38039
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,325,600
Proper Divisor Sum 38,179
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5287393 ← → #5287427

Radix Representation

Decimal 5287421
Binary 10100001010110111111101 (23 bits)
Octal 0o24126775
Hexadecimal 0x50ADFD

Divisor Catalog (4)

1 139 38,039 5,287,421

Collatz Trajectory (219 steps to reach 1)

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

5,287,421 15,862,264 7,931,132 3,965,566 1,982,783 5,948,350 2,974,175 8,922,526 4,461,263 13,383,790 6,691,895 20,075,686 10,037,843 30,113,530 15,056,765 45,170,296 22,585,148 11,292,574 5,646,287 16,938,862 8,469,431 25,408,294 12,704,147 38,112,442 19,056,221 57,168,664 28,584,332 14,292,166 7,146,083 21,438,250 10,719,125 32,157,376 16,078,688 8,039,344 4,019,672 2,009,836 1,004,918 502,459 1,507,378 753,689 2,261,068 1,130,534 565,267 1,695,802 847,901 2,543,704 1,271,852 635,926 317,963 953,890 476,945 1,430,836 715,418 357,709 1,073,128 536,564 268,282 134,141 402,424 201,212

More profiles

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