λ
Harmonic Matrix

3,640,150

2 × 52 × 47 × 1549
Deficient Even Composite

3,640,150 has digital root 1. The neighboring primes are 3640121 and 3640151; its proper-divisor sum differs from the starting integer by -361,100.

Prime Factor Structure

Factorization String 2 × 5^2 × 47 × 1549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,919,200
Proper Divisor Sum 3,279,050
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3640121 ← → #3640151

Radix Representation

Decimal 3640150
Binary 1101111000101101010110 (22 bits)
Octal 0o15705526
Hexadecimal 0x378B56

Divisor Catalog (24)

1 2 5 10 25 47 50 94 235 470 1,175 1,549 2,350 3,098 7,745 15,490 38,725 72,803 77,450 145,606 364,015 728,030 1,820,075 3,640,150

Collatz Trajectory (110 steps to reach 1)

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

3,640,150 1,820,075 5,460,226 2,730,113 8,190,340 4,095,170 2,047,585 6,142,756 3,071,378 1,535,689 4,607,068 2,303,534 1,151,767 3,455,302 1,727,651 5,182,954 2,591,477 7,774,432 3,887,216 1,943,608 971,804 485,902 242,951 728,854 364,427 1,093,282 546,641 1,639,924 819,962 409,981 1,229,944 614,972 307,486 153,743 461,230 230,615 691,846 345,923 1,037,770 518,885 1,556,656 778,328 389,164 194,582 97,291 291,874 145,937 437,812 218,906 109,453 328,360 164,180 82,090 41,045 123,136 61,568 30,784 15,392 7,696 3,848

More profiles

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