λ
Harmonic Matrix

1,684,478

2 × 31 × 101 × 269
Deficient Even Composite

1,684,478 has digital root 2. The neighboring primes are 1684477 and 1684481; its proper-divisor sum differs from the starting integer by -725,116.

Prime Factor Structure

Factorization String 2 × 31 × 101 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,643,840
Proper Divisor Sum 959,362
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1684477 ← → #1684481

Radix Representation

Decimal 1684478
Binary 110011011001111111110 (21 bits)
Octal 0o6331776
Hexadecimal 0x19B3FE

Divisor Catalog (16)

1 2 31 62 101 202 269 538 3,131 6,262 8,339 16,678 27,169 54,338 842,239 1,684,478

Collatz Trajectory (158 steps to reach 1)

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

1,684,478 842,239 2,526,718 1,263,359 3,790,078 1,895,039 5,685,118 2,842,559 8,527,678 4,263,839 12,791,518 6,395,759 19,187,278 9,593,639 28,780,918 14,390,459 43,171,378 21,585,689 64,757,068 32,378,534 16,189,267 48,567,802 24,283,901 72,851,704 36,425,852 18,212,926 9,106,463 27,319,390 13,659,695 40,979,086 20,489,543 61,468,630 30,734,315 92,202,946 46,101,473 138,304,420 69,152,210 34,576,105 103,728,316 51,864,158 25,932,079 77,796,238 38,898,119 116,694,358 58,347,179 175,041,538 87,520,769 262,562,308 131,281,154 65,640,577 196,921,732 98,460,866 49,230,433 147,691,300 73,845,650 36,922,825 110,768,476 55,384,238 27,692,119 83,076,358

More profiles

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