λ
Harmonic Matrix

7,716,649

1657 × 4657
Deficient Odd Composite

7,716,649 has digital root 4. The neighboring primes are 7716637 and 7716673; its proper-divisor sum differs from the starting integer by -7,710,334.

Prime Factor Structure

Factorization String 1657 × 4657
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,722,964
Proper Divisor Sum 6,315
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7716637 ← → #7716673

Radix Representation

Decimal 7716649
Binary 11101011011111100101001 (23 bits)
Octal 0o35337451
Hexadecimal 0x75BF29

Divisor Catalog (4)

1 1,657 4,657 7,716,649

Collatz Trajectory (72 steps to reach 1)

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

7,716,649 23,149,948 11,574,974 5,787,487 17,362,462 8,681,231 26,043,694 13,021,847 39,065,542 19,532,771 58,598,314 29,299,157 87,897,472 43,948,736 21,974,368 10,987,184 5,493,592 2,746,796 1,373,398 686,699 2,060,098 1,030,049 3,090,148 1,545,074 772,537 2,317,612 1,158,806 579,403 1,738,210 869,105 2,607,316 1,303,658 651,829 1,955,488 977,744 488,872 244,436 122,218 61,109 183,328 91,664 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360

More profiles

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