λ
Harmonic Matrix

3,588,537

3 × 967 × 1237
Deficient Odd Composite

3,588,537 has digital root 3. The neighboring primes are 3588527 and 3588589; its proper-divisor sum differs from the starting integer by -2,383,538.

Prime Factor Structure

Factorization String 3 × 967 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,793,536
Proper Divisor Sum 1,204,999
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3588527 ← → #3588589

Radix Representation

Decimal 3588537
Binary 1101101100000110111001 (22 bits)
Octal 0o15540671
Hexadecimal 0x36C1B9

Divisor Catalog (8)

1 3 967 1,237 2,901 3,711 1,196,179 3,588,537

Collatz Trajectory (128 steps to reach 1)

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

3,588,537 10,765,612 5,382,806 2,691,403 8,074,210 4,037,105 12,111,316 6,055,658 3,027,829 9,083,488 4,541,744 2,270,872 1,135,436 567,718 283,859 851,578 425,789 1,277,368 638,684 319,342 159,671 479,014 239,507 718,522 359,261 1,077,784 538,892 269,446 134,723 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768

More profiles

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