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Atlas › Integer Profiles › Node 7,487,154

7,487,154

2 × 34 × 113 × 409
Abundant Even Composite

7,487,154 factors as 2 × 3^4 × 113 × 409. Its 40 positive divisors give a proper-divisor sum of 9,479,466, so this integer is abundant. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 113 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,966,620
Proper Divisor Sum 9,479,466
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7487149 ← → #7487171

Radix Representation

Decimal 7487154
Binary 11100100011111010110010 (23 bits)
Octal 0o34437262
Hexadecimal 0x723EB2

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 113 162 226 339 409 678 818 1,017 1,227 2,034 2,454 3,051 3,681 6,102 7,362 9,153 11,043 18,306 22,086 33,129 46,217 66,258 92,434 138,651 277,302 415,953 831,906 1,247,859 2,495,718 3,743,577 7,487,154

Collatz Trajectory (279 steps to reach 1)

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

7,487,154 3,743,577 11,230,732 5,615,366 2,807,683 8,423,050 4,211,525 12,634,576 6,317,288 3,158,644 1,579,322 789,661 2,368,984 1,184,492 592,246 296,123 888,370 444,185 1,332,556 666,278 333,139 999,418 499,709 1,499,128 749,564 374,782 187,391 562,174 281,087 843,262 421,631 1,264,894 632,447 1,897,342 948,671 2,846,014 1,423,007 4,269,022 2,134,511 6,403,534 3,201,767 9,605,302 4,802,651 14,407,954 7,203,977 21,611,932 10,805,966 5,402,983 16,208,950 8,104,475 24,313,426 12,156,713 36,470,140 18,235,070 9,117,535 27,352,606 13,676,303 41,028,910 20,514,455 61,543,366

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