λ
Harmonic Matrix

5,318,701

31 × 171571
Deficient Odd Composite

5,318,701 has digital root 7. The neighboring primes are 5318683 and 5318711; its proper-divisor sum differs from the starting integer by -5,147,098.

Prime Factor Structure

Factorization String 31 × 171571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,490,304
Proper Divisor Sum 171,603
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5318683 ← → #5318711

Radix Representation

Decimal 5318701
Binary 10100010010100000101101 (23 bits)
Octal 0o24224055
Hexadecimal 0x51282D

Divisor Catalog (4)

1 31 171,571 5,318,701

Collatz Trajectory (118 steps to reach 1)

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

5,318,701 15,956,104 7,978,052 3,989,026 1,994,513 5,983,540 2,991,770 1,495,885 4,487,656 2,243,828 1,121,914 560,957 1,682,872 841,436 420,718 210,359 631,078 315,539 946,618 473,309 1,419,928 709,964 354,982 177,491 532,474 266,237 798,712 399,356 199,678 99,839 299,518 149,759 449,278 224,639 673,918 336,959 1,010,878 505,439 1,516,318 758,159 2,274,478 1,137,239 3,411,718 1,705,859 5,117,578 2,558,789 7,676,368 3,838,184 1,919,092 959,546 479,773 1,439,320 719,660 359,830 179,915 539,746 269,873 809,620 404,810 202,405

More profiles

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