λ
Harmonic Matrix

976,987

11 × 88817
Deficient Odd Composite

976,987 has digital root 1. The neighboring primes are 976957 and 976991; its proper-divisor sum differs from the starting integer by -888,158.

Prime Factor Structure

Factorization String 11 × 88817
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,065,816
Proper Divisor Sum 88,829
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #976957 ← → #976991

Radix Representation

Decimal 976987
Binary 11101110100001011011 (20 bits)
Octal 0o3564133
Hexadecimal 0xEE85B

Divisor Catalog (4)

1 11 88,817 976,987

Collatz Trajectory (121 steps to reach 1)

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

976,987 2,930,962 1,465,481 4,396,444 2,198,222 1,099,111 3,297,334 1,648,667 4,946,002 2,473,001 7,419,004 3,709,502 1,854,751 5,564,254 2,782,127 8,346,382 4,173,191 12,519,574 6,259,787 18,779,362 9,389,681 28,169,044 14,084,522 7,042,261 21,126,784 10,563,392 5,281,696 2,640,848 1,320,424 660,212 330,106 165,053 495,160 247,580 123,790 61,895 185,686 92,843 278,530 139,265 417,796 208,898 104,449 313,348 156,674 78,337 235,012 117,506 58,753 176,260 88,130 44,065 132,196 66,098 33,049 99,148 49,574 24,787 74,362 37,181

More profiles

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