7,155,460

2² × 5 × 13² × 29 × 73

7,155,460 factors as 2^2 × 5 × 13^2 × 29 × 73. Its 72 positive divisors give a proper-divisor sum of 9,907,460, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 29 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,062,920

Proper Divisor Sum 9,907,460

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7155439 ← → #7155479

Radix Representation

Decimal	7155460
Binary	11011010010111100000100 (23 bits)
Octal	0o33227404
Hexadecimal	0x6D2F04

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 26 29 52 58 65 73 116 130 145 146 169 260 290 292 338 365 377 580 676 730 754 845 949 1,460 1,508 1,690 1,885 1,898 2,117 3,380 3,770 3,796 4,234 4,745 4,901 7,540 8,468 9,490 9,802 10,585 12,337 18,980 19,604 21,170 24,505 24,674 27,521 42,340 49,010 49,348 55,042 61,685 98,020

Collatz Trajectory (98 steps to reach 1)

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

7,155,460 3,577,730 1,788,865 5,366,596 2,683,298 1,341,649 4,024,948 2,012,474 1,006,237 3,018,712 1,509,356 754,678 377,339 1,132,018 566,009 1,698,028 849,014 424,507 1,273,522 636,761 1,910,284 955,142 477,571 1,432,714 716,357 2,149,072 1,074,536 537,268 268,634 134,317 402,952 201,476 100,738 50,369 151,108 75,554 37,777 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261

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