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Atlas › Integer Profiles › Node 23,978,024

23,978,024

23 × 7 × 17 × 89 × 283
Abundant Even Composite

23,978,024 factors as 2^3 × 7 × 17 × 89 × 283. Its 64 positive divisors give a proper-divisor sum of 31,231,576, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 89 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 55,209,600
Proper Divisor Sum 31,231,576
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #23978023 ← → #23978033

Radix Representation

Decimal 23978024
Binary 1011011011110000000101000 (25 bits)
Octal 0o133360050
Hexadecimal 0x16DE028

Divisor Catalog (60 of 64)

1 2 4 7 8 14 17 28 34 56 68 89 119 136 178 238 283 356 476 566 623 712 952 1,132 1,246 1,513 1,981 2,264 2,492 3,026 3,962 4,811 4,984 6,052 7,924 9,622 10,591 12,104 15,848 19,244 21,182 25,187 33,677 38,488 42,364 50,374 67,354 84,728 100,748 134,708 176,309 201,496 269,416 352,618 428,179 705,236 856,358 1,410,472 1,712,716 2,997,253

Collatz Trajectory (154 steps to reach 1)

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

23,978,024 11,989,012 5,994,506 2,997,253 8,991,760 4,495,880 2,247,940 1,123,970 561,985 1,685,956 842,978 421,489 1,264,468 632,234 316,117 948,352 474,176 237,088 118,544 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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