7,630,371

3² × 7 × 31 × 3907

7,630,371 has digital root 9. The neighboring primes are 7630369 and 7630379; its proper-divisor sum differs from the starting integer by -2,254,918.

Prime Factor Structure

Factorization String 3^2 × 7 × 31 × 3907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,005,824

Proper Divisor Sum 5,375,453

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7630369 ← → #7630379

Radix Representation

Decimal	7630371
Binary	11101000110111000100011 (23 bits)
Octal	0o35067043
Hexadecimal	0x746E23

Divisor Catalog (24)

1 3 7 9 21 31 63 93 217 279 651 1,953 3,907 11,721 27,349 35,163 82,047 121,117 246,141 363,351 847,819 1,090,053 2,543,457 7,630,371

Collatz Trajectory (155 steps to reach 1)

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

7,630,371 22,891,114 11,445,557 34,336,672 17,168,336 8,584,168 4,292,084 2,146,042 1,073,021 3,219,064 1,609,532 804,766 402,383 1,207,150 603,575 1,810,726 905,363 2,716,090 1,358,045 4,074,136 2,037,068 1,018,534 509,267 1,527,802 763,901 2,291,704 1,145,852 572,926 286,463 859,390 429,695 1,289,086 644,543 1,933,630 966,815 2,900,446 1,450,223 4,350,670 2,175,335 6,526,006 3,263,003 9,789,010 4,894,505 14,683,516 7,341,758 3,670,879 11,012,638 5,506,319 16,518,958 8,259,479 24,778,438 12,389,219 37,167,658 18,583,829 55,751,488 27,875,744 13,937,872 6,968,936 3,484,468 1,742,234

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