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Atlas › Integer Profiles › Node 1,542,645

1,542,645

34 × 5 × 13 × 293
Deficient Odd Composite

1,542,645 factors as 3^4 × 5 × 13 × 293. Its 40 positive divisors give a proper-divisor sum of 1,445,571, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,988,216
Proper Divisor Sum 1,445,571
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1542599 ← → #1542661

Radix Representation

Decimal 1542645
Binary 101111000100111110101 (21 bits)
Octal 0o5704765
Hexadecimal 0x1789F5

Divisor Catalog (40)

1 3 5 9 13 15 27 39 45 65 81 117 135 195 293 351 405 585 879 1,053 1,465 1,755 2,637 3,809 4,395 5,265 7,911 11,427 13,185 19,045 23,733 34,281 39,555 57,135 102,843 118,665 171,405 308,529 514,215 1,542,645

Collatz Trajectory (256 steps to reach 1)

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

1,542,645 4,627,936 2,313,968 1,156,984 578,492 289,246 144,623 433,870 216,935 650,806 325,403 976,210 488,105 1,464,316 732,158 366,079 1,098,238 549,119 1,647,358 823,679 2,471,038 1,235,519 3,706,558 1,853,279 5,559,838 2,779,919 8,339,758 4,169,879 12,509,638 6,254,819 18,764,458 9,382,229 28,146,688 14,073,344 7,036,672 3,518,336 1,759,168 879,584 439,792 219,896 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570 9,785

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