λ
Harmonic Matrix

1,232,460

22 × 32 × 5 × 41 × 167
Abundant Even Composite

1,232,460 has digital root 9. The neighboring primes are 1232453 and 1232461; its proper-divisor sum differs from the starting integer by 1,387,656.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 41 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,852,576
Proper Divisor Sum 2,620,116
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1232453 ← → #1232461

Radix Representation

Decimal 1232460
Binary 100101100111001001100 (21 bits)
Octal 0o4547114
Hexadecimal 0x12CE4C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 167 180 205 246 334 369 410 492 501 615 668 738 820 835 1,002 1,230 1,476 1,503 1,670 1,845 2,004 2,460 2,505 3,006 3,340 3,690 5,010 6,012 6,847 7,380 7,515 10,020 13,694 15,030 20,541 27,388 30,060 34,235 41,082

Collatz Trajectory (191 steps to reach 1)

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

1,232,460 616,230 308,115 924,346 462,173 1,386,520 693,260 346,630 173,315 519,946 259,973 779,920 389,960 194,980 97,490 48,745 146,236 73,118 36,559 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179 333,538 166,769 500,308 250,154 125,077 375,232 187,616 93,808 46,904

More profiles

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