λ
Harmonic Matrix

4,876,207

7 × 23 × 31 × 977
Deficient Odd Composite

4,876,207 has digital root 7. The neighboring primes are 4876189 and 4876211; its proper-divisor sum differs from the starting integer by -3,743,582.

Prime Factor Structure

Factorization String 7 × 23 × 31 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,008,832
Proper Divisor Sum 1,132,625
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4876189 ← → #4876211

Radix Representation

Decimal 4876207
Binary 10010100110011110101111 (23 bits)
Octal 0o22463657
Hexadecimal 0x4A67AF

Divisor Catalog (16)

1 7 23 31 161 217 713 977 4,991 6,839 22,471 30,287 157,297 212,009 696,601 4,876,207

Collatz Trajectory (87 steps to reach 1)

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

4,876,207 14,628,622 7,314,311 21,942,934 10,971,467 32,914,402 16,457,201 49,371,604 24,685,802 12,342,901 37,028,704 18,514,352 9,257,176 4,628,588 2,314,294 1,157,147 3,471,442 1,735,721 5,207,164 2,603,582 1,301,791 3,905,374 1,952,687 5,858,062 2,929,031 8,787,094 4,393,547 13,180,642 6,590,321 19,770,964 9,885,482 4,942,741 14,828,224 7,414,112 3,707,056 1,853,528 926,764 463,382 231,691 695,074 347,537 1,042,612 521,306 260,653 781,960 390,980 195,490 97,745 293,236 146,618 73,309 219,928 109,964 54,982 27,491 82,474 41,237 123,712 61,856 30,928

More profiles

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