λ
Harmonic Matrix

7,952,689

7952689
Deficient Odd Prime

7,952,689 has digital root 1. The neighboring primes are 7952683 and 7952701; its proper-divisor sum differs from the starting integer by -7,952,688.

Prime Factor Structure

Factorization String 7952689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,952,690
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7952683 ← → #7952701

Radix Representation

Decimal 7952689
Binary 11110010101100100110001 (23 bits)
Octal 0o36254461
Hexadecimal 0x795931

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

7,952,689 23,858,068 11,929,034 5,964,517 17,893,552 8,946,776 4,473,388 2,236,694 1,118,347 3,355,042 1,677,521 5,032,564 2,516,282 1,258,141 3,774,424 1,887,212 943,606 471,803 1,415,410 707,705 2,123,116 1,061,558 530,779 1,592,338 796,169 2,388,508 1,194,254 597,127 1,791,382 895,691 2,687,074 1,343,537 4,030,612 2,015,306 1,007,653 3,022,960 1,511,480 755,740 377,870 188,935 566,806 283,403 850,210 425,105 1,275,316 637,658 318,829 956,488 478,244 239,122 119,561 358,684 179,342 89,671 269,014 134,507 403,522 201,761 605,284 302,642

More profiles

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