λ
Harmonic Matrix

3,713,700

22 × 3 × 52 × 12379
Abundant Even Composite

3,713,700 has digital root 3. The neighboring primes are 3713681 and 3713737; its proper-divisor sum differs from the starting integer by 3,318,440.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 12379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,745,840
Proper Divisor Sum 7,032,140
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3713681 ← → #3713737

Radix Representation

Decimal 3713700
Binary 1110001010101010100100 (22 bits)
Octal 0o16125244
Hexadecimal 0x38AAA4

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12,379 24,758 37,137 49,516 61,895 74,274 123,790 148,548 185,685 247,580 309,475 371,370 618,950 742,740 928,425 1,237,900 1,856,850 3,713,700

Collatz Trajectory (115 steps to reach 1)

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

3,713,700 1,856,850 928,425 2,785,276 1,392,638 696,319 2,088,958 1,044,479 3,133,438 1,566,719 4,700,158 2,350,079 7,050,238 3,525,119 10,575,358 5,287,679 15,863,038 7,931,519 23,794,558 11,897,279 35,691,838 17,845,919 53,537,758 26,768,879 80,306,638 40,153,319 120,459,958 60,229,979 180,689,938 90,344,969 271,034,908 135,517,454 67,758,727 203,276,182 101,638,091 304,914,274 152,457,137 457,371,412 228,685,706 114,342,853 343,028,560 171,514,280 85,757,140 42,878,570 21,439,285 64,317,856 32,158,928 16,079,464 8,039,732 4,019,866 2,009,933 6,029,800 3,014,900 1,507,450 753,725 2,261,176 1,130,588 565,294 282,647 847,942

More profiles

← Previous Integer #3,713,699 Browse Full Index Next Integer #3,713,701 →