λ
Harmonic Matrix

6,367,141

112 × 101 × 521
Deficient Odd Composite

6,367,141 has digital root 1. The neighboring primes are 6367111 and 6367157; its proper-divisor sum differs from the starting integer by -5,652,830.

Prime Factor Structure

Factorization String 11^2 × 101 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,081,452
Proper Divisor Sum 714,311
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6367111 ← → #6367157

Radix Representation

Decimal 6367141
Binary 11000010010011110100101 (23 bits)
Octal 0o30223645
Hexadecimal 0x6127A5

Divisor Catalog (12)

1 11 101 121 521 1,111 5,731 12,221 52,621 63,041 578,831 6,367,141

Collatz Trajectory (271 steps to reach 1)

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

6,367,141 19,101,424 9,550,712 4,775,356 2,387,678 1,193,839 3,581,518 1,790,759 5,372,278 2,686,139 8,058,418 4,029,209 12,087,628 6,043,814 3,021,907 9,065,722 4,532,861 13,598,584 6,799,292 3,399,646 1,699,823 5,099,470 2,549,735 7,649,206 3,824,603 11,473,810 5,736,905 17,210,716 8,605,358 4,302,679 12,908,038 6,454,019 19,362,058 9,681,029 29,043,088 14,521,544 7,260,772 3,630,386 1,815,193 5,445,580 2,722,790 1,361,395 4,084,186 2,042,093 6,126,280 3,063,140 1,531,570 765,785 2,297,356 1,148,678 574,339 1,723,018 861,509 2,584,528 1,292,264 646,132 323,066 161,533 484,600 242,300

More profiles

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