1,072,344

2³ × 3 × 7 × 13 × 491

1,072,344 has the prime decomposition 2^3 × 3 × 7 × 13 × 491. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 491

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,306,240

Proper Divisor Sum 2,233,896

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1072339 ← → #1072363

Radix Representation

Decimal	1072344
Binary	100000101110011011000 (21 bits)
Octal	0o4056330
Hexadecimal	0x105CD8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 491 546 728 982 1,092 1,473 1,964 2,184 2,946 3,437 3,928 5,892 6,383 6,874 10,311 11,784 12,766 13,748 19,149 20,622 25,532 27,496 38,298 41,244 44,681 51,064 76,596 82,488 89,362 134,043 153,192 178,724

Collatz Trajectory (121 steps to reach 1)

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

1,072,344 536,172 268,086 134,043 402,130 201,065 603,196 301,598 150,799 452,398 226,199 678,598 339,299 1,017,898 508,949 1,526,848 763,424 381,712 190,856 95,428 47,714 23,857 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805

← Previous Integer #1,072,343 Browse Full Index Next Integer #1,072,345 →