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Atlas › Integer Profiles › Node 88,354,150

88,354,150

2 × 52 × 37 × 163 × 293
Deficient Even Composite

88,354,150 factors as 2 × 5^2 × 37 × 163 × 293. Its 48 positive divisors give a proper-divisor sum of 82,041,194, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 37 × 163 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 170,395,344
Proper Divisor Sum 82,041,194
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #88354141 ← → #88354157

Radix Representation

Decimal 88354150
Binary 101010001000010110101100110 (27 bits)
Octal 0o521026546
Hexadecimal 0x5442D66

Divisor Catalog (48)

1 2 5 10 25 37 50 74 163 185 293 326 370 586 815 925 1,465 1,630 1,850 2,930 4,075 6,031 7,325 8,150 10,841 12,062 14,650 21,682 30,155 47,759 54,205 60,310 95,518 108,410 150,775 238,795 271,025 301,550 477,590 542,050 1,193,975 1,767,083 2,387,950 3,534,166 8,835,415 17,670,830 44,177,075 88,354,150

Collatz Trajectory (161 steps to reach 1)

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

88,354,150 44,177,075 132,531,226 66,265,613 198,796,840 99,398,420 49,699,210 24,849,605 74,548,816 37,274,408 18,637,204 9,318,602 4,659,301 13,977,904 6,988,952 3,494,476 1,747,238 873,619 2,620,858 1,310,429 3,931,288 1,965,644 982,822 491,411 1,474,234 737,117 2,211,352 1,105,676 552,838 276,419 829,258 414,629 1,243,888 621,944 310,972 155,486 77,743 233,230 116,615 349,846 174,923 524,770 262,385 787,156 393,578 196,789 590,368 295,184 147,592 73,796 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568

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