7,162,992

2⁴ × 3⁴ × 5527

7,162,992 has digital root 9. The neighboring primes are 7162963 and 7162993; its proper-divisor sum differs from the starting integer by 6,409,544.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5527

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 50

Divisor Sum (σ) 20,735,528

Proper Divisor Sum 13,572,536

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7162963 ← → #7162993

Radix Representation

Decimal	7162992
Binary	11011010100110001110000 (23 bits)
Octal	0o33246160
Hexadecimal	0x6D4C70

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1,296 5,527 11,054 16,581 22,108 33,162 44,216 49,743 66,324 88,432 99,486 132,648 149,229 198,972 265,296 298,458 397,944 447,687 596,916 795,888 895,374 1,193,832 1,790,748 2,387,664 3,581,496 7,162,992

Collatz Trajectory (98 steps to reach 1)

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

7,162,992 3,581,496 1,790,748 895,374 447,687 1,343,062 671,531 2,014,594 1,007,297 3,021,892 1,510,946 755,473 2,266,420 1,133,210 566,605 1,699,816 849,908 424,954 212,477 637,432 318,716 159,358 79,679 239,038 119,519 358,558 179,279 537,838 268,919 806,758 403,379 1,210,138 605,069 1,815,208 907,604 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211

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