λ
Modular Archive

7,321,797

32 × 7 × 23 × 31 × 163
Deficient Odd Composite

The decimal integer 7,321,797 is 11011111011100011000101 in binary (23 bits), 33734305 in octal and 6FB8C5 in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 31 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,099,008
Proper Divisor Sum 5,777,211
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7321789 ← → #7321813

Radix Representation

Decimal 7321797
Binary 11011111011100011000101 (23 bits)
Octal 0o33734305
Hexadecimal 0x6FB8C5

Divisor Catalog (48)

1 3 7 9 21 23 31 63 69 93 161 163 207 217 279 483 489 651 713 1,141 1,449 1,467 1,953 2,139 3,423 3,749 4,991 5,053 6,417 10,269 11,247 14,973 15,159 26,243 33,741 35,371 44,919 45,477 78,729 106,113 116,219 236,187 318,339 348,657 813,533 1,045,971 2,440,599 7,321,797

Collatz Trajectory (142 steps to reach 1)

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

7,321,797 21,965,392 10,982,696 5,491,348 2,745,674 1,372,837 4,118,512 2,059,256 1,029,628 514,814 257,407 772,222 386,111 1,158,334 579,167 1,737,502 868,751 2,606,254 1,303,127 3,909,382 1,954,691 5,864,074 2,932,037 8,796,112 4,398,056 2,199,028 1,099,514 549,757 1,649,272 824,636 412,318 206,159 618,478 309,239 927,718 463,859 1,391,578 695,789 2,087,368 1,043,684 521,842 260,921 782,764 391,382 195,691 587,074 293,537 880,612 440,306 220,153 660,460 330,230 165,115 495,346 247,673 743,020 371,510 185,755 557,266 278,633

More profiles

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