λ
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Atlas › Integer Profiles › Node 7,469,120

7,469,120

26 × 5 × 17 × 1373
Abundant Even Composite

7,469,120 factors as 2^6 × 5 × 17 × 1373. Its 56 positive divisors give a proper-divisor sum of 11,376,664, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,845,784
Proper Divisor Sum 11,376,664
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7469117 ← → #7469123

Radix Representation

Decimal 7469120
Binary 11100011111100001000000 (23 bits)
Octal 0o34374100
Hexadecimal 0x71F840

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1,088 1,360 1,373 2,720 2,746 5,440 5,492 6,865 10,984 13,730 21,968 23,341 27,460 43,936 46,682 54,920 87,872 93,364 109,840 116,705 186,728 219,680 233,410 373,456 439,360 466,820 746,912 933,640 1,493,824 1,867,280 3,734,560 7,469,120

Collatz Trajectory (98 steps to reach 1)

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

7,469,120 3,734,560 1,867,280 933,640 466,820 233,410 116,705 350,116 175,058 87,529 262,588 131,294 65,647 196,942 98,471 295,414 147,707 443,122 221,561 664,684 332,342 166,171 498,514 249,257 747,772 373,886 186,943 560,830 280,415 841,246 420,623 1,261,870 630,935 1,892,806 946,403 2,839,210 1,419,605 4,258,816 2,129,408 1,064,704 532,352 266,176 133,088 66,544 33,272 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384

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