λ
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7,654,647

3 × 7 × 11 × 13 × 2549
Deficient Odd Composite

7,654,647 factors as 3 × 7 × 11 × 13 × 2549. Its 32 positive divisors give a proper-divisor sum of 6,054,153, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 2549
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,708,800
Proper Divisor Sum 6,054,153
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7654627 ← → #7654649

Radix Representation

Decimal 7654647
Binary 11101001100110011110111 (23 bits)
Octal 0o35146367
Hexadecimal 0x74CCF7

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 2,549 3,003 7,647 17,843 28,039 33,137 53,529 84,117 99,411 196,273 231,959 364,507 588,819 695,877 1,093,521 2,551,549 7,654,647

Collatz Trajectory (248 steps to reach 1)

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

7,654,647 22,963,942 11,481,971 34,445,914 17,222,957 51,668,872 25,834,436 12,917,218 6,458,609 19,375,828 9,687,914 4,843,957 14,531,872 7,265,936 3,632,968 1,816,484 908,242 454,121 1,362,364 681,182 340,591 1,021,774 510,887 1,532,662 766,331 2,298,994 1,149,497 3,448,492 1,724,246 862,123 2,586,370 1,293,185 3,879,556 1,939,778 969,889 2,909,668 1,454,834 727,417 2,182,252 1,091,126 545,563 1,636,690 818,345 2,455,036 1,227,518 613,759 1,841,278 920,639 2,761,918 1,380,959 4,142,878 2,071,439 6,214,318 3,107,159 9,321,478 4,660,739 13,982,218 6,991,109 20,973,328 10,486,664

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