λ
Harmonic Matrix

3,696,125

53 × 29569
Deficient Odd Composite

3,696,125 has digital root 5. The neighboring primes are 3696113 and 3696131; its proper-divisor sum differs from the starting integer by -2,779,330.

Prime Factor Structure

Factorization String 5^3 × 29569
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,612,920
Proper Divisor Sum 916,795
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3696113 ← → #3696131

Radix Representation

Decimal 3696125
Binary 1110000110010111111101 (22 bits)
Octal 0o16062775
Hexadecimal 0x3865FD

Divisor Catalog (8)

1 5 25 125 29,569 147,845 739,225 3,696,125

Collatz Trajectory (159 steps to reach 1)

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

3,696,125 11,088,376 5,544,188 2,772,094 1,386,047 4,158,142 2,079,071 6,237,214 3,118,607 9,355,822 4,677,911 14,033,734 7,016,867 21,050,602 10,525,301 31,575,904 15,787,952 7,893,976 3,946,988 1,973,494 986,747 2,960,242 1,480,121 4,440,364 2,220,182 1,110,091 3,330,274 1,665,137 4,995,412 2,497,706 1,248,853 3,746,560 1,873,280 936,640 468,320 234,160 117,080 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908

More profiles

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