λ
Harmonic Matrix

4,673,127

3 × 1557709
Deficient Odd Composite

4,673,127 has digital root 3. The neighboring primes are 4673099 and 4673131; its proper-divisor sum differs from the starting integer by -3,115,414.

Prime Factor Structure

Factorization String 3 × 1557709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,230,840
Proper Divisor Sum 1,557,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4673099 ← → #4673131

Radix Representation

Decimal 4673127
Binary 10001110100111001100111 (23 bits)
Octal 0o21647147
Hexadecimal 0x474E67

Divisor Catalog (4)

1 3 1,557,709 4,673,127

Collatz Trajectory (224 steps to reach 1)

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

4,673,127 14,019,382 7,009,691 21,029,074 10,514,537 31,543,612 15,771,806 7,885,903 23,657,710 11,828,855 35,486,566 17,743,283 53,229,850 26,614,925 79,844,776 39,922,388 19,961,194 9,980,597 29,941,792 14,970,896 7,485,448 3,742,724 1,871,362 935,681 2,807,044 1,403,522 701,761 2,105,284 1,052,642 526,321 1,578,964 789,482 394,741 1,184,224 592,112 296,056 148,028 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641

More profiles

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