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Atlas › Integer Profiles › Node 8,973,048

8,973,048

23 × 3 × 7 × 53411
Abundant Even Composite

8,973,048 factors as 2^3 × 3 × 7 × 53411. Its 32 positive divisors give a proper-divisor sum of 16,664,712, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 53411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,637,760
Proper Divisor Sum 16,664,712
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8973023 ← → #8973049

Radix Representation

Decimal 8973048
Binary 100010001110101011111000 (24 bits)
Octal 0o42165370
Hexadecimal 0x88EAF8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 53,411 106,822 160,233 213,644 320,466 373,877 427,288 640,932 747,754 1,121,631 1,281,864 1,495,508 2,243,262 2,991,016 4,486,524 8,973,048

Collatz Trajectory (119 steps to reach 1)

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

8,973,048 4,486,524 2,243,262 1,121,631 3,364,894 1,682,447 5,047,342 2,523,671 7,571,014 3,785,507 11,356,522 5,678,261 17,034,784 8,517,392 4,258,696 2,129,348 1,064,674 532,337 1,597,012 798,506 399,253 1,197,760 598,880 299,440 149,720 74,860 37,430 18,715 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920 59,960 29,980 14,990 7,495 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487

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