λ
Harmonic Matrix

4,615,966

2 × 2307983
Deficient Even Composite

4,615,966 has digital root 1. The neighboring primes are 4615927 and 4615967; its proper-divisor sum differs from the starting integer by -2,307,980.

Prime Factor Structure

Factorization String 2 × 2307983
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,923,952
Proper Divisor Sum 2,307,986
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4615927 ← → #4615967

Radix Representation

Decimal 4615966
Binary 10001100110111100011110 (23 bits)
Octal 0o21467436
Hexadecimal 0x466F1E

Divisor Catalog (4)

1 2 2,307,983 4,615,966

Collatz Trajectory (224 steps to reach 1)

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

4,615,966 2,307,983 6,923,950 3,461,975 10,385,926 5,192,963 15,578,890 7,789,445 23,368,336 11,684,168 5,842,084 2,921,042 1,460,521 4,381,564 2,190,782 1,095,391 3,286,174 1,643,087 4,929,262 2,464,631 7,393,894 3,696,947 11,090,842 5,545,421 16,636,264 8,318,132 4,159,066 2,079,533 6,238,600 3,119,300 1,559,650 779,825 2,339,476 1,169,738 584,869 1,754,608 877,304 438,652 219,326 109,663 328,990 164,495 493,486 246,743 740,230 370,115 1,110,346 555,173 1,665,520 832,760 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970

More profiles

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