λ
Prime Ledger

963,977

72 × 103 × 191
Deficient Odd Composite

963,977 has the prime decomposition 7^2 × 103 × 191. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 103 × 191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,138,176
Proper Divisor Sum 174,199
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #963973 ← → #963979

Radix Representation

Decimal 963977
Binary 11101011010110001001 (20 bits)
Octal 0o3532611
Hexadecimal 0xEB589

Divisor Catalog (12)

1 7 49 103 191 721 1,337 5,047 9,359 19,673 137,711 963,977

Collatz Trajectory (227 steps to reach 1)

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

963,977 2,891,932 1,445,966 722,983 2,168,950 1,084,475 3,253,426 1,626,713 4,880,140 2,440,070 1,220,035 3,660,106 1,830,053 5,490,160 2,745,080 1,372,540 686,270 343,135 1,029,406 514,703 1,544,110 772,055 2,316,166 1,158,083 3,474,250 1,737,125 5,211,376 2,605,688 1,302,844 651,422 325,711 977,134 488,567 1,465,702 732,851 2,198,554 1,099,277 3,297,832 1,648,916 824,458 412,229 1,236,688 618,344 309,172 154,586 77,293 231,880 115,940 57,970 28,985 86,956 43,478 21,739 65,218 32,609 97,828 48,914 24,457 73,372 36,686

More profiles

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