λ
Harmonic Matrix

927,901

13 × 137 × 521
Deficient Odd Composite

927,901 has digital root 1. The neighboring primes are 927869 and 927961; its proper-divisor sum differs from the starting integer by -847,298.

Prime Factor Structure

Factorization String 13 × 137 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,008,504
Proper Divisor Sum 80,603
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #927869 ← → #927961

Radix Representation

Decimal 927901
Binary 11100010100010011101 (20 bits)
Octal 0o3424235
Hexadecimal 0xE289D

Divisor Catalog (8)

1 13 137 521 1,781 6,773 71,377 927,901

Collatz Trajectory (183 steps to reach 1)

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

927,901 2,783,704 1,391,852 695,926 347,963 1,043,890 521,945 1,565,836 782,918 391,459 1,174,378 587,189 1,761,568 880,784 440,392 220,196 110,098 55,049 165,148 82,574 41,287 123,862 61,931 185,794 92,897 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726 176,363 529,090 264,545 793,636 396,818 198,409 595,228 297,614 148,807 446,422 223,211 669,634 334,817 1,004,452 502,226 251,113 753,340 376,670 188,335 565,006 282,503 847,510 423,755 1,271,266

More profiles

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