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Atlas › Integer Profiles › Node 76,426,882

76,426,882

2 × 7 × 97 × 167 × 337
Deficient Even Composite

76,426,882 factors as 2 × 7 × 97 × 167 × 337. Its 32 positive divisors give a proper-divisor sum of 57,129,086, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 7 × 97 × 167 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,555,968
Proper Divisor Sum 57,129,086
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #76426877 ← → #76426913

Radix Representation

Decimal 76426882
Binary 100100011100010111010000010 (27 bits)
Octal 0o443427202
Hexadecimal 0x48E2E82

Divisor Catalog (32)

1 2 7 14 97 167 194 334 337 674 679 1,169 1,358 2,338 2,359 4,718 16,199 32,398 32,689 56,279 65,378 112,558 113,393 226,786 228,823 393,953 457,646 787,906 5,459,063 10,918,126 38,213,441 76,426,882

Collatz Trajectory (104 steps to reach 1)

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

76,426,882 38,213,441 114,640,324 57,320,162 28,660,081 85,980,244 42,990,122 21,495,061 64,485,184 32,242,592 16,121,296 8,060,648 4,030,324 2,015,162 1,007,581 3,022,744 1,511,372 755,686 377,843 1,133,530 566,765 1,700,296 850,148 425,074 212,537 637,612 318,806 159,403 478,210 239,105 717,316 358,658 179,329 537,988 268,994 134,497 403,492 201,746 100,873 302,620 151,310 75,655 226,966 113,483 340,450 170,225 510,676 255,338 127,669 383,008 191,504 95,752 47,876 23,938 11,969 35,908 17,954 8,977 26,932 13,466

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