λ
Harmonic Matrix

1,532,001

3 × 127 × 4021
Deficient Odd Composite

1,532,001 has digital root 3. The neighboring primes are 1531997 and 1532009; its proper-divisor sum differs from the starting integer by -1,004,738.

Prime Factor Structure

Factorization String 3 × 127 × 4021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,059,264
Proper Divisor Sum 527,263
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1531997 ← → #1532009

Radix Representation

Decimal 1532001
Binary 101110110000001100001 (21 bits)
Octal 0o5660141
Hexadecimal 0x176061

Divisor Catalog (8)

1 3 127 381 4,021 12,063 510,667 1,532,001

Collatz Trajectory (225 steps to reach 1)

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

1,532,001 4,596,004 2,298,002 1,149,001 3,447,004 1,723,502 861,751 2,585,254 1,292,627 3,877,882 1,938,941 5,816,824 2,908,412 1,454,206 727,103 2,181,310 1,090,655 3,271,966 1,635,983 4,907,950 2,453,975 7,361,926 3,680,963 11,042,890 5,521,445 16,564,336 8,282,168 4,141,084 2,070,542 1,035,271 3,105,814 1,552,907 4,658,722 2,329,361 6,988,084 3,494,042 1,747,021 5,241,064 2,620,532 1,310,266 655,133 1,965,400 982,700 491,350 245,675 737,026 368,513 1,105,540 552,770 276,385 829,156 414,578 207,289 621,868 310,934 155,467 466,402 233,201 699,604 349,802

More profiles

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