λ
Harmonic Matrix

3,702,937

7 × 528991
Deficient Odd Composite

3,702,937 has digital root 4. The neighboring primes are 3702913 and 3702943; its proper-divisor sum differs from the starting integer by -3,173,938.

Prime Factor Structure

Factorization String 7 × 528991
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,231,936
Proper Divisor Sum 528,999
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3702913 ← → #3702943

Radix Representation

Decimal 3702937
Binary 1110001000000010011001 (22 bits)
Octal 0o16100231
Hexadecimal 0x388099

Divisor Catalog (4)

1 7 528,991 3,702,937

Collatz Trajectory (190 steps to reach 1)

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

3,702,937 11,108,812 5,554,406 2,777,203 8,331,610 4,165,805 12,497,416 6,248,708 3,124,354 1,562,177 4,686,532 2,343,266 1,171,633 3,514,900 1,757,450 878,725 2,636,176 1,318,088 659,044 329,522 164,761 494,284 247,142 123,571 370,714 185,357 556,072 278,036 139,018 69,509 208,528 104,264 52,132 26,066 13,033 39,100 19,550 9,775 29,326 14,663 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939

More profiles

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