λ
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Atlas › Integer Profiles › Node 4,010,487

4,010,487

3 × 13 × 17 × 23 × 263
Deficient Odd Composite

4,010,487 factors as 3 × 13 × 17 × 23 × 263. Its 32 positive divisors give a proper-divisor sum of 2,376,201, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 23 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,386,688
Proper Divisor Sum 2,376,201
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4010471 ← → #4010491

Radix Representation

Decimal 4010487
Binary 1111010011000111110111 (22 bits)
Octal 0o17230767
Hexadecimal 0x3D31F7

Divisor Catalog (32)

1 3 13 17 23 39 51 69 221 263 299 391 663 789 897 1,173 3,419 4,471 5,083 6,049 10,257 13,413 15,249 18,147 58,123 78,637 102,833 174,369 235,911 308,499 1,336,829 4,010,487

Collatz Trajectory (141 steps to reach 1)

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

4,010,487 12,031,462 6,015,731 18,047,194 9,023,597 27,070,792 13,535,396 6,767,698 3,383,849 10,151,548 5,075,774 2,537,887 7,613,662 3,806,831 11,420,494 5,710,247 17,130,742 8,565,371 25,696,114 12,848,057 38,544,172 19,272,086 9,636,043 28,908,130 14,454,065 43,362,196 21,681,098 10,840,549 32,521,648 16,260,824 8,130,412 4,065,206 2,032,603 6,097,810 3,048,905 9,146,716 4,573,358 2,286,679 6,860,038 3,430,019 10,290,058 5,145,029 15,435,088 7,717,544 3,858,772 1,929,386 964,693 2,894,080 1,447,040 723,520 361,760 180,880 90,440 45,220 22,610 11,305 33,916 16,958 8,479 25,438

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