λ
Harmonic Matrix

5,146,808

23 × 367 × 1753
Deficient Even Composite

5,146,808 has digital root 5. The neighboring primes are 5146793 and 5146819; its proper-divisor sum differs from the starting integer by -611,536.

Prime Factor Structure

Factorization String 2^3 × 367 × 1753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,682,080
Proper Divisor Sum 4,535,272
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5146793 ← → #5146819

Radix Representation

Decimal 5146808
Binary 10011101000100010111000 (23 bits)
Octal 0o23504270
Hexadecimal 0x4E88B8

Divisor Catalog (16)

1 2 4 8 367 734 1,468 1,753 2,936 3,506 7,012 14,024 643,351 1,286,702 2,573,404 5,146,808

Collatz Trajectory (113 steps to reach 1)

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

5,146,808 2,573,404 1,286,702 643,351 1,930,054 965,027 2,895,082 1,447,541 4,342,624 2,171,312 1,085,656 542,828 271,414 135,707 407,122 203,561 610,684 305,342 152,671 458,014 229,007 687,022 343,511 1,030,534 515,267 1,545,802 772,901 2,318,704 1,159,352 579,676 289,838 144,919 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708 45,854 22,927 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441

More profiles

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