7,627,314

2 × 3 × 359 × 3541

7,627,314 has digital root 3. The neighboring primes are 7627309 and 7627327; its proper-divisor sum differs from the starting integer by 46,812.

Prime Factor Structure

Factorization String 2 × 3 × 359 × 3541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,301,440

Proper Divisor Sum 7,674,126

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7627309 ← → #7627327

Radix Representation

Decimal	7627314
Binary	11101000110001000110010 (23 bits)
Octal	0o35061062
Hexadecimal	0x746232

Divisor Catalog (16)

1 2 3 6 359 718 1,077 2,154 3,541 7,082 10,623 21,246 1,271,219 2,542,438 3,813,657 7,627,314

Collatz Trajectory (80 steps to reach 1)

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

7,627,314 3,813,657 11,440,972 5,720,486 2,860,243 8,580,730 4,290,365 12,871,096 6,435,548 3,217,774 1,608,887 4,826,662 2,413,331 7,239,994 3,619,997 10,859,992 5,429,996 2,714,998 1,357,499 4,072,498 2,036,249 6,108,748 3,054,374 1,527,187 4,581,562 2,290,781 6,872,344 3,436,172 1,718,086 859,043 2,577,130 1,288,565 3,865,696 1,932,848 966,424 483,212 241,606 120,803 362,410 181,205 543,616 271,808 135,904 67,952 33,976 16,988 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224

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