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Atlas › Integer Profiles › Node 1,371,237

1,371,237

3 × 7 × 17 × 23 × 167
Deficient Odd Composite

1,371,237 factors as 3 × 7 × 17 × 23 × 167. Its 32 positive divisors give a proper-divisor sum of 951,195, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 23 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,322,432
Proper Divisor Sum 951,195
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1371229 ← → #1371259

Radix Representation

Decimal 1371237
Binary 101001110110001100101 (21 bits)
Octal 0o5166145
Hexadecimal 0x14EC65

Divisor Catalog (32)

1 3 7 17 21 23 51 69 119 161 167 357 391 483 501 1,169 1,173 2,737 2,839 3,507 3,841 8,211 8,517 11,523 19,873 26,887 59,619 65,297 80,661 195,891 457,079 1,371,237

Collatz Trajectory (261 steps to reach 1)

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

1,371,237 4,113,712 2,056,856 1,028,428 514,214 257,107 771,322 385,661 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

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