λ
Harmonic Matrix

1,291,523

1291523
Deficient Odd Prime

1,291,523 has digital root 5. The neighboring primes are 1291501 and 1291547; its proper-divisor sum differs from the starting integer by -1,291,522.

Prime Factor Structure

Factorization String 1291523
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,291,524
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1291501 ← → #1291547

Radix Representation

Decimal 1291523
Binary 100111011010100000011 (21 bits)
Octal 0o4732403
Hexadecimal 0x13B503

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

1,291,523 3,874,570 1,937,285 5,811,856 2,905,928 1,452,964 726,482 363,241 1,089,724 544,862 272,431 817,294 408,647 1,225,942 612,971 1,838,914 919,457 2,758,372 1,379,186 689,593 2,068,780 1,034,390 517,195 1,551,586 775,793 2,327,380 1,163,690 581,845 1,745,536 872,768 436,384 218,192 109,096 54,548 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201

More profiles

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