λ
Harmonic Matrix

5,703,676

22 × 11 × 129629
Deficient Even Composite

5,703,676 has digital root 7. The neighboring primes are 5703641 and 5703679; its proper-divisor sum differs from the starting integer by -518,432.

Prime Factor Structure

Factorization String 2^2 × 11 × 129629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,888,920
Proper Divisor Sum 5,185,244
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5703641 ← → #5703679

Radix Representation

Decimal 5703676
Binary 10101110000011111111100 (23 bits)
Octal 0o25603774
Hexadecimal 0x5707FC

Divisor Catalog (12)

1 2 4 11 22 44 129,629 259,258 518,516 1,425,919 2,851,838 5,703,676

Collatz Trajectory (183 steps to reach 1)

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

5,703,676 2,851,838 1,425,919 4,277,758 2,138,879 6,416,638 3,208,319 9,624,958 4,812,479 14,437,438 7,218,719 21,656,158 10,828,079 32,484,238 16,242,119 48,726,358 24,363,179 73,089,538 36,544,769 109,634,308 54,817,154 27,408,577 82,225,732 41,112,866 20,556,433 61,669,300 30,834,650 15,417,325 46,251,976 23,125,988 11,562,994 5,781,497 17,344,492 8,672,246 4,336,123 13,008,370 6,504,185 19,512,556 9,756,278 4,878,139 14,634,418 7,317,209 21,951,628 10,975,814 5,487,907 16,463,722 8,231,861 24,695,584 12,347,792 6,173,896 3,086,948 1,543,474 771,737 2,315,212 1,157,606 578,803 1,736,410 868,205 2,604,616 1,302,308

More profiles

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