λ
Harmonic Matrix

1,291,515

3 × 5 × 29 × 2969
Deficient Odd Composite

1,291,515 has digital root 6. The neighboring primes are 1291501 and 1291523; its proper-divisor sum differs from the starting integer by -444,630.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 2969
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,138,400
Proper Divisor Sum 846,885
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1291501 ← → #1291523

Radix Representation

Decimal 1291515
Binary 100111011010011111011 (21 bits)
Octal 0o4732373
Hexadecimal 0x13B4FB

Divisor Catalog (16)

1 3 5 15 29 87 145 435 2,969 8,907 14,845 44,535 86,101 258,303 430,505 1,291,515

Collatz Trajectory (173 steps to reach 1)

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

1,291,515 3,874,546 1,937,273 5,811,820 2,905,910 1,452,955 4,358,866 2,179,433 6,538,300 3,269,150 1,634,575 4,903,726 2,451,863 7,355,590 3,677,795 11,033,386 5,516,693 16,550,080 8,275,040 4,137,520 2,068,760 1,034,380 517,190 258,595 775,786 387,893 1,163,680 581,840 290,920 145,460 72,730 36,365 109,096 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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