λ
Harmonic Matrix

3,807,901

3807901
Deficient Odd Prime

3,807,901 has digital root 1. The neighboring primes are 3807889 and 3807907; its proper-divisor sum differs from the starting integer by -3,807,900.

Prime Factor Structure

Factorization String 3807901
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,807,902
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3807889 ← → #3807907

Radix Representation

Decimal 3807901
Binary 1110100001101010011101 (22 bits)
Octal 0o16415235
Hexadecimal 0x3A1A9D

Divisor Catalog (2)

Collatz Trajectory (154 steps to reach 1)

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

3,807,901 11,423,704 5,711,852 2,855,926 1,427,963 4,283,890 2,141,945 6,425,836 3,212,918 1,606,459 4,819,378 2,409,689 7,229,068 3,614,534 1,807,267 5,421,802 2,710,901 8,132,704 4,066,352 2,033,176 1,016,588 508,294 254,147 762,442 381,221 1,143,664 571,832 285,916 142,958 71,479 214,438 107,219 321,658 160,829 482,488 241,244 120,622 60,311 180,934 90,467 271,402 135,701 407,104 203,552 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671

More profiles

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