λ
Harmonic Matrix

3,740,130

2 × 32 × 5 × 29 × 1433
Abundant Even Composite

3,740,130 has digital root 9. The neighboring primes are 3740089 and 3740161; its proper-divisor sum differs from the starting integer by 2,586,420.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,066,680
Proper Divisor Sum 6,326,550
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3740089 ← → #3740161

Radix Representation

Decimal 3740130
Binary 1110010001000111100010 (22 bits)
Octal 0o16210742
Hexadecimal 0x3911E2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1,305 1,433 2,610 2,866 4,299 7,165 8,598 12,897 14,330 21,495 25,794 41,557 42,990 64,485 83,114 124,671 128,970 207,785 249,342 374,013 415,570 623,355 748,026 1,246,710 1,870,065 3,740,130

Collatz Trajectory (247 steps to reach 1)

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

3,740,130 1,870,065 5,610,196 2,805,098 1,402,549 4,207,648 2,103,824 1,051,912 525,956 262,978 131,489 394,468 197,234 98,617 295,852 147,926 73,963 221,890 110,945 332,836 166,418 83,209 249,628 124,814 62,407 187,222 93,611 280,834 140,417 421,252 210,626 105,313 315,940 157,970 78,985 236,956 118,478 59,239 177,718 88,859 266,578 133,289 399,868 199,934 99,967 299,902 149,951 449,854 224,927 674,782 337,391 1,012,174 506,087 1,518,262 759,131 2,277,394 1,138,697 3,416,092 1,708,046 854,023

More profiles

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