λ
Harmonic Matrix

1,267,401

3 × 17 × 24851
Deficient Odd Composite

1,267,401 has digital root 3. The neighboring primes are 1267381 and 1267403; its proper-divisor sum differs from the starting integer by -745,458.

Prime Factor Structure

Factorization String 3 × 17 × 24851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,789,344
Proper Divisor Sum 521,943
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1267381 ← → #1267403

Radix Representation

Decimal 1267401
Binary 100110101011011001001 (21 bits)
Octal 0o4653311
Hexadecimal 0x1356C9

Divisor Catalog (8)

1 3 17 51 24,851 74,553 422,467 1,267,401

Collatz Trajectory (155 steps to reach 1)

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

1,267,401 3,802,204 1,901,102 950,551 2,851,654 1,425,827 4,277,482 2,138,741 6,416,224 3,208,112 1,604,056 802,028 401,014 200,507 601,522 300,761 902,284 451,142 225,571 676,714 338,357 1,015,072 507,536 253,768 126,884 63,442 31,721 95,164 47,582 23,791 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403

More profiles

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